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Finding the Third Proportional to 697,332.50 and 1,077,556

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Solution

The third proportional to 697,332.50 and 1,077,556 is: 1,665,097.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    697,332.50 : 1,077,556 = 1,077,556 : x
  2. Step 2: Convert to fraction form
    697,332.50/1,077,556 = 1,077,556/x
  3. Step 3: Cross multiply
    697,332.50x = 1,077,556 × 1,077,556
  4. Step 4: Simplify right side
    697,332.50x = 1,161,126,933,136
  5. Step 5: Solve for x
    x = 1,161,126,933,136/697,332.50
  6. Step 6: Final answer
    x = 1,665,097.97

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.