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Finding the Third Proportional to 500,694 and 775,776

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Solution

The third proportional to 500,694 and 775,776 is: 1,201,988.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,694 : 775,776 = 775,776 : x
  2. Step 2: Convert to fraction form
    500,694/775,776 = 775,776/x
  3. Step 3: Cross multiply
    500,694x = 775,776 × 775,776
  4. Step 4: Simplify right side
    500,694x = 601,828,402,176
  5. Step 5: Solve for x
    x = 601,828,402,176/500,694
  6. Step 6: Final answer
    x = 1,201,988.44

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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.