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Finding the Third Proportional to 306,264,414 and 470,750,341.50

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Solution

The third proportional to 306,264,414 and 470,750,341.50 is: 723,576,993.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,264,414 : 470,750,341.50 = 470,750,341.50 : x
  2. Step 2: Convert to fraction form
    306,264,414/470,750,341.50 = 470,750,341.50/x
  3. Step 3: Cross multiply
    306,264,414x = 470,750,341.50 × 470,750,341.50
  4. Step 4: Simplify right side
    306,264,414x = 221,605,884,022,366,624
  5. Step 5: Solve for x
    x = 221,605,884,022,366,624/306,264,414
  6. Step 6: Final answer
    x = 723,576,993.91

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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.