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Finding the Third Proportional to 316,673 and 491,076

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Solution

The third proportional to 316,673 and 491,076 is: 761,528.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,673 : 491,076 = 491,076 : x
  2. Step 2: Convert to fraction form
    316,673/491,076 = 491,076/x
  3. Step 3: Cross multiply
    316,673x = 491,076 × 491,076
  4. Step 4: Simplify right side
    316,673x = 241,155,637,776
  5. Step 5: Solve for x
    x = 241,155,637,776/316,673
  6. Step 6: Final answer
    x = 761,528.89

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.