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Finding the Third Proportional to 306,385.50 and 711,972

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Solution

The third proportional to 306,385.50 and 711,972 is: 1,654,465.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,385.50 : 711,972 = 711,972 : x
  2. Step 2: Convert to fraction form
    306,385.50/711,972 = 711,972/x
  3. Step 3: Cross multiply
    306,385.50x = 711,972 × 711,972
  4. Step 4: Simplify right side
    306,385.50x = 506,904,128,784
  5. Step 5: Solve for x
    x = 506,904,128,784/306,385.50
  6. Step 6: Final answer
    x = 1,654,465.14

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.