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Finding the Third Proportional to 314,742 and 499,143

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Solution

The third proportional to 314,742 and 499,143 is: 791,580.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,742 : 499,143 = 499,143 : x
  2. Step 2: Convert to fraction form
    314,742/499,143 = 499,143/x
  3. Step 3: Cross multiply
    314,742x = 499,143 × 499,143
  4. Step 4: Simplify right side
    314,742x = 249,143,734,449
  5. Step 5: Solve for x
    x = 249,143,734,449/314,742
  6. Step 6: Final answer
    x = 791,580.83

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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.