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Finding the Third Proportional to 434,899.13 and 663,592.50

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Solution

The third proportional to 434,899.13 and 663,592.50 is: 1,012,545.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,899.13 : 663,592.50 = 663,592.50 : x
  2. Step 2: Convert to fraction form
    434,899.13/663,592.50 = 663,592.50/x
  3. Step 3: Cross multiply
    434,899.13x = 663,592.50 × 663,592.50
  4. Step 4: Simplify right side
    434,899.13x = 440,355,006,056.25
  5. Step 5: Solve for x
    x = 440,355,006,056.25/434,899.13
  6. Step 6: Final answer
    x = 1,012,545.16

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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.