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Finding the Third Proportional to 779,715 and 1,175,332.50

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Solution

The third proportional to 779,715 and 1,175,332.50 is: 1,771,681.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    779,715 : 1,175,332.50 = 1,175,332.50 : x
  2. Step 2: Convert to fraction form
    779,715/1,175,332.50 = 1,175,332.50/x
  3. Step 3: Cross multiply
    779,715x = 1,175,332.50 × 1,175,332.50
  4. Step 4: Simplify right side
    779,715x = 1,381,406,485,556.25
  5. Step 5: Solve for x
    x = 1,381,406,485,556.25/779,715
  6. Step 6: Final answer
    x = 1,771,681.30

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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.