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Finding the Third Proportional to 316,768 and 689,304

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Solution

The third proportional to 316,768 and 689,304 is: 1,499,962.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,768 : 689,304 = 689,304 : x
  2. Step 2: Convert to fraction form
    316,768/689,304 = 689,304/x
  3. Step 3: Cross multiply
    316,768x = 689,304 × 689,304
  4. Step 4: Simplify right side
    316,768x = 475,140,004,416
  5. Step 5: Solve for x
    x = 475,140,004,416/316,768
  6. Step 6: Final answer
    x = 1,499,962.13

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.