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Finding the Third Proportional to 306,267,054.75 and 470,754,028.13

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Solution

The third proportional to 306,267,054.75 and 470,754,028.13 is: 723,582,088.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,267,054.75 : 470,754,028.13 = 470,754,028.13 : x
  2. Step 2: Convert to fraction form
    306,267,054.75/470,754,028.13 = 470,754,028.13/x
  3. Step 3: Cross multiply
    306,267,054.75x = 470,754,028.13 × 470,754,028.13
  4. Step 4: Simplify right side
    306,267,054.75x = 221,609,354,995,913,280
  5. Step 5: Solve for x
    x = 221,609,354,995,913,280/306,267,054.75
  6. Step 6: Final answer
    x = 723,582,088.11

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.