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Finding the Third Proportional to 499,365 and 772,352.72

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Solution

The third proportional to 499,365 and 772,352.72 is: 1,194,574.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,365 : 772,352.72 = 772,352.72 : x
  2. Step 2: Convert to fraction form
    499,365/772,352.72 = 772,352.72/x
  3. Step 3: Cross multiply
    499,365x = 772,352.72 × 772,352.72
  4. Step 4: Simplify right side
    499,365x = 596,528,722,160.52
  5. Step 5: Solve for x
    x = 596,528,722,160.52/499,365
  6. Step 6: Final answer
    x = 1,194,574.55

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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.