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Finding the Third Proportional to 506,206 and 712,043

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Solution

The third proportional to 506,206 and 712,043 is: 1,001,578.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,206 : 712,043 = 712,043 : x
  2. Step 2: Convert to fraction form
    506,206/712,043 = 712,043/x
  3. Step 3: Cross multiply
    506,206x = 712,043 × 712,043
  4. Step 4: Simplify right side
    506,206x = 507,005,233,849
  5. Step 5: Solve for x
    x = 507,005,233,849/506,206
  6. Step 6: Final answer
    x = 1,001,578.87

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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.