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Finding the Third Proportional to 323,677.50 and 711,597

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Solution

The third proportional to 323,677.50 and 711,597 is: 1,564,428.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,677.50 : 711,597 = 711,597 : x
  2. Step 2: Convert to fraction form
    323,677.50/711,597 = 711,597/x
  3. Step 3: Cross multiply
    323,677.50x = 711,597 × 711,597
  4. Step 4: Simplify right side
    323,677.50x = 506,370,290,409
  5. Step 5: Solve for x
    x = 506,370,290,409/323,677.50
  6. Step 6: Final answer
    x = 1,564,428.45

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.