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Finding the Third Proportional to 499,352 and 730,340

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Solution

The third proportional to 499,352 and 730,340 is: 1,068,177.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,352 : 730,340 = 730,340 : x
  2. Step 2: Convert to fraction form
    499,352/730,340 = 730,340/x
  3. Step 3: Cross multiply
    499,352x = 730,340 × 730,340
  4. Step 4: Simplify right side
    499,352x = 533,396,515,600
  5. Step 5: Solve for x
    x = 533,396,515,600/499,352
  6. Step 6: Final answer
    x = 1,068,177.39

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.