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Finding the Third Proportional to 506,188.50 and 712,017

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Solution

The third proportional to 506,188.50 and 712,017 is: 1,001,540.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,188.50 : 712,017 = 712,017 : x
  2. Step 2: Convert to fraction form
    506,188.50/712,017 = 712,017/x
  3. Step 3: Cross multiply
    506,188.50x = 712,017 × 712,017
  4. Step 4: Simplify right side
    506,188.50x = 506,968,208,289
  5. Step 5: Solve for x
    x = 506,968,208,289/506,188.50
  6. Step 6: Final answer
    x = 1,001,540.35

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.