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Finding the Third Proportional to 314,766 and 473,931

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Solution

The third proportional to 314,766 and 473,931 is: 713,579.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,766 : 473,931 = 473,931 : x
  2. Step 2: Convert to fraction form
    314,766/473,931 = 473,931/x
  3. Step 3: Cross multiply
    314,766x = 473,931 × 473,931
  4. Step 4: Simplify right side
    314,766x = 224,610,592,761
  5. Step 5: Solve for x
    x = 224,610,592,761/314,766
  6. Step 6: Final answer
    x = 713,579.59

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.