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Finding the Third Proportional to 275,332.50 and 565,488

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Solution

The third proportional to 275,332.50 and 565,488 is: 1,161,420.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,332.50 : 565,488 = 565,488 : x
  2. Step 2: Convert to fraction form
    275,332.50/565,488 = 565,488/x
  3. Step 3: Cross multiply
    275,332.50x = 565,488 × 565,488
  4. Step 4: Simplify right side
    275,332.50x = 319,776,678,144
  5. Step 5: Solve for x
    x = 319,776,678,144/275,332.50
  6. Step 6: Final answer
    x = 1,161,420.02

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.