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Finding the Third Proportional to 357,264.47 and 766,333.59

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Solution

The third proportional to 357,264.47 and 766,333.59 is: 1,643,788.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,264.47 : 766,333.59 = 766,333.59 : x
  2. Step 2: Convert to fraction form
    357,264.47/766,333.59 = 766,333.59/x
  3. Step 3: Cross multiply
    357,264.47x = 766,333.59 × 766,333.59
  4. Step 4: Simplify right side
    357,264.47x = 587,267,176,909.79
  5. Step 5: Solve for x
    x = 587,267,176,909.79/357,264.47
  6. Step 6: Final answer
    x = 1,643,788.36

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.