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Finding the Third Proportional to 506,284.50 and 712,152.75

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Solution

The third proportional to 506,284.50 and 712,152.75 is: 1,001,732.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,284.50 : 712,152.75 = 712,152.75 : x
  2. Step 2: Convert to fraction form
    506,284.50/712,152.75 = 712,152.75/x
  3. Step 3: Cross multiply
    506,284.50x = 712,152.75 × 712,152.75
  4. Step 4: Simplify right side
    506,284.50x = 507,161,539,332.56
  5. Step 5: Solve for x
    x = 507,161,539,332.56/506,284.50
  6. Step 6: Final answer
    x = 1,001,732.31

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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.