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Finding the Third Proportional to 457,187.63 and 711,954.56

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Solution

The third proportional to 457,187.63 and 711,954.56 is: 1,108,689.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,187.63 : 711,954.56 = 711,954.56 : x
  2. Step 2: Convert to fraction form
    457,187.63/711,954.56 = 711,954.56/x
  3. Step 3: Cross multiply
    457,187.63x = 711,954.56 × 711,954.56
  4. Step 4: Simplify right side
    457,187.63x = 506,879,299,064.57
  5. Step 5: Solve for x
    x = 506,879,299,064.57/457,187.63
  6. Step 6: Final answer
    x = 1,108,689.89

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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.