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Finding the Third Proportional to 495,237.25 and 744,038.25

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Solution

The third proportional to 495,237.25 and 744,038.25 is: 1,117,833.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,237.25 : 744,038.25 = 744,038.25 : x
  2. Step 2: Convert to fraction form
    495,237.25/744,038.25 = 744,038.25/x
  3. Step 3: Cross multiply
    495,237.25x = 744,038.25 × 744,038.25
  4. Step 4: Simplify right side
    495,237.25x = 553,592,917,463.06
  5. Step 5: Solve for x
    x = 553,592,917,463.06/495,237.25
  6. Step 6: Final answer
    x = 1,117,833.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.