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Finding the Third Proportional to 497,590.88 and 750,508.88

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Solution

The third proportional to 497,590.88 and 750,508.88 is: 1,131,981.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,590.88 : 750,508.88 = 750,508.88 : x
  2. Step 2: Convert to fraction form
    497,590.88/750,508.88 = 750,508.88/x
  3. Step 3: Cross multiply
    497,590.88x = 750,508.88 × 750,508.88
  4. Step 4: Simplify right side
    497,590.88x = 563,263,571,453.77
  5. Step 5: Solve for x
    x = 563,263,571,453.77/497,590.88
  6. Step 6: Final answer
    x = 1,131,981.31

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.