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Finding the Third Proportional to 495,513 and 747,914

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Solution

The third proportional to 495,513 and 747,914 is: 1,128,881.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,513 : 747,914 = 747,914 : x
  2. Step 2: Convert to fraction form
    495,513/747,914 = 747,914/x
  3. Step 3: Cross multiply
    495,513x = 747,914 × 747,914
  4. Step 4: Simplify right side
    495,513x = 559,375,351,396
  5. Step 5: Solve for x
    x = 559,375,351,396/495,513
  6. Step 6: Final answer
    x = 1,128,881.28

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.