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Finding the Third Proportional to 316,117.69 and 465,805.69

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Solution

The third proportional to 316,117.69 and 465,805.69 is: 686,373.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,117.69 : 465,805.69 = 465,805.69 : x
  2. Step 2: Convert to fraction form
    316,117.69/465,805.69 = 465,805.69/x
  3. Step 3: Cross multiply
    316,117.69x = 465,805.69 × 465,805.69
  4. Step 4: Simplify right side
    316,117.69x = 216,974,938,507.35
  5. Step 5: Solve for x
    x = 216,974,938,507.35/316,117.69
  6. Step 6: Final answer
    x = 686,373.93

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.