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Finding the Third Proportional to 456,592.50 and 709,750.75

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Solution

The third proportional to 456,592.50 and 709,750.75 is: 1,103,272.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,592.50 : 709,750.75 = 709,750.75 : x
  2. Step 2: Convert to fraction form
    456,592.50/709,750.75 = 709,750.75/x
  3. Step 3: Cross multiply
    456,592.50x = 709,750.75 × 709,750.75
  4. Step 4: Simplify right side
    456,592.50x = 503,746,127,125.56
  5. Step 5: Solve for x
    x = 503,746,127,125.56/456,592.50
  6. Step 6: Final answer
    x = 1,103,272.89

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.