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Finding the Third Proportional to 465,464.50 and 711,734.50

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Solution

The third proportional to 465,464.50 and 711,734.50 is: 1,088,302.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,464.50 : 711,734.50 = 711,734.50 : x
  2. Step 2: Convert to fraction form
    465,464.50/711,734.50 = 711,734.50/x
  3. Step 3: Cross multiply
    465,464.50x = 711,734.50 × 711,734.50
  4. Step 4: Simplify right side
    465,464.50x = 506,565,998,490.25
  5. Step 5: Solve for x
    x = 506,565,998,490.25/465,464.50
  6. Step 6: Final answer
    x = 1,088,302.11

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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.