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Finding the Third Proportional to 497,616.75 and 750,546

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Solution

The third proportional to 497,616.75 and 750,546 is: 1,132,034.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,616.75 : 750,546 = 750,546 : x
  2. Step 2: Convert to fraction form
    497,616.75/750,546 = 750,546/x
  3. Step 3: Cross multiply
    497,616.75x = 750,546 × 750,546
  4. Step 4: Simplify right side
    497,616.75x = 563,319,298,116
  5. Step 5: Solve for x
    x = 563,319,298,116/497,616.75
  6. Step 6: Final answer
    x = 1,132,034.44

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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.