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Finding the Third Proportional to 457,214.63 and 712,000.13

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Solution

The third proportional to 457,214.63 and 712,000.13 is: 1,108,766.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,214.63 : 712,000.13 = 712,000.13 : x
  2. Step 2: Convert to fraction form
    457,214.63/712,000.13 = 712,000.13/x
  3. Step 3: Cross multiply
    457,214.63x = 712,000.13 × 712,000.13
  4. Step 4: Simplify right side
    457,214.63x = 506,944,178,000.02
  5. Step 5: Solve for x
    x = 506,944,178,000.02/457,214.63
  6. Step 6: Final answer
    x = 1,108,766.32

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.