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Finding the Third Proportional to 710,541 and 1,063,651.50

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Solution

The third proportional to 710,541 and 1,063,651.50 is: 1,592,243.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    710,541 : 1,063,651.50 = 1,063,651.50 : x
  2. Step 2: Convert to fraction form
    710,541/1,063,651.50 = 1,063,651.50/x
  3. Step 3: Cross multiply
    710,541x = 1,063,651.50 × 1,063,651.50
  4. Step 4: Simplify right side
    710,541x = 1,131,354,513,452.25
  5. Step 5: Solve for x
    x = 1,131,354,513,452.25/710,541
  6. Step 6: Final answer
    x = 1,592,243.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.