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Finding the Third Proportional to 472,045.50 and 711,987

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Solution

The third proportional to 472,045.50 and 711,987 is: 1,073,891.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,045.50 : 711,987 = 711,987 : x
  2. Step 2: Convert to fraction form
    472,045.50/711,987 = 711,987/x
  3. Step 3: Cross multiply
    472,045.50x = 711,987 × 711,987
  4. Step 4: Simplify right side
    472,045.50x = 506,925,488,169
  5. Step 5: Solve for x
    x = 506,925,488,169/472,045.50
  6. Step 6: Final answer
    x = 1,073,891.16

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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.