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Finding the Third Proportional to 528,913.13 and 794,539.13

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Solution

The third proportional to 528,913.13 and 794,539.13 is: 1,193,565.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    528,913.13 : 794,539.13 = 794,539.13 : x
  2. Step 2: Convert to fraction form
    528,913.13/794,539.13 = 794,539.13/x
  3. Step 3: Cross multiply
    528,913.13x = 794,539.13 × 794,539.13
  4. Step 4: Simplify right side
    528,913.13x = 631,292,421,155.77
  5. Step 5: Solve for x
    x = 631,292,421,155.77/528,913.13
  6. Step 6: Final answer
    x = 1,193,565.43

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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.