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Finding the Third Proportional to 306,726 and 470,803.50

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Solution

The third proportional to 306,726 and 470,803.50 is: 722,651.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,726 : 470,803.50 = 470,803.50 : x
  2. Step 2: Convert to fraction form
    306,726/470,803.50 = 470,803.50/x
  3. Step 3: Cross multiply
    306,726x = 470,803.50 × 470,803.50
  4. Step 4: Simplify right side
    306,726x = 221,655,935,612.25
  5. Step 5: Solve for x
    x = 221,655,935,612.25/306,726
  6. Step 6: Final answer
    x = 722,651.28

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.