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Finding the Third Proportional to 315,746 and 676,528

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Solution

The third proportional to 315,746 and 676,528 is: 1,449,551.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,746 : 676,528 = 676,528 : x
  2. Step 2: Convert to fraction form
    315,746/676,528 = 676,528/x
  3. Step 3: Cross multiply
    315,746x = 676,528 × 676,528
  4. Step 4: Simplify right side
    315,746x = 457,690,134,784
  5. Step 5: Solve for x
    x = 457,690,134,784/315,746
  6. Step 6: Final answer
    x = 1,449,551.65

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.