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Finding the Third Proportional to 455,472 and 679,527

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Solution

The third proportional to 455,472 and 679,527 is: 1,013,798.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,472 : 679,527 = 679,527 : x
  2. Step 2: Convert to fraction form
    455,472/679,527 = 679,527/x
  3. Step 3: Cross multiply
    455,472x = 679,527 × 679,527
  4. Step 4: Simplify right side
    455,472x = 461,756,943,729
  5. Step 5: Solve for x
    x = 461,756,943,729/455,472
  6. Step 6: Final answer
    x = 1,013,798.75

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.