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Finding the Third Proportional to 472,046 and 711,988

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Solution

The third proportional to 472,046 and 711,988 is: 1,073,893.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,046 : 711,988 = 711,988 : x
  2. Step 2: Convert to fraction form
    472,046/711,988 = 711,988/x
  3. Step 3: Cross multiply
    472,046x = 711,988 × 711,988
  4. Step 4: Simplify right side
    472,046x = 506,926,912,144
  5. Step 5: Solve for x
    x = 506,926,912,144/472,046
  6. Step 6: Final answer
    x = 1,073,893.04

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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.