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Finding the Third Proportional to 314,284.50 and 486,541

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Solution

The third proportional to 314,284.50 and 486,541 is: 753,209.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,284.50 : 486,541 = 486,541 : x
  2. Step 2: Convert to fraction form
    314,284.50/486,541 = 486,541/x
  3. Step 3: Cross multiply
    314,284.50x = 486,541 × 486,541
  4. Step 4: Simplify right side
    314,284.50x = 236,722,144,681
  5. Step 5: Solve for x
    x = 236,722,144,681/314,284.50
  6. Step 6: Final answer
    x = 753,209.73

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.