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Finding the Third Proportional to 315,582 and 681,708

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Solution

The third proportional to 315,582 and 681,708 is: 1,472,599.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,582 : 681,708 = 681,708 : x
  2. Step 2: Convert to fraction form
    315,582/681,708 = 681,708/x
  3. Step 3: Cross multiply
    315,582x = 681,708 × 681,708
  4. Step 4: Simplify right side
    315,582x = 464,725,797,264
  5. Step 5: Solve for x
    x = 464,725,797,264/315,582
  6. Step 6: Final answer
    x = 1,472,599.19

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.