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Finding the Third Proportional to 314,730 and 499,125

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Solution

The third proportional to 314,730 and 499,125 is: 791,553.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,730 : 499,125 = 499,125 : x
  2. Step 2: Convert to fraction form
    314,730/499,125 = 499,125/x
  3. Step 3: Cross multiply
    314,730x = 499,125 × 499,125
  4. Step 4: Simplify right side
    314,730x = 249,125,765,625
  5. Step 5: Solve for x
    x = 249,125,765,625/314,730
  6. Step 6: Final answer
    x = 791,553.92

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.