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Finding the Third Proportional to 521,032 and 779,360

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Solution

The third proportional to 521,032 and 779,360 is: 1,165,767.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,032 : 779,360 = 779,360 : x
  2. Step 2: Convert to fraction form
    521,032/779,360 = 779,360/x
  3. Step 3: Cross multiply
    521,032x = 779,360 × 779,360
  4. Step 4: Simplify right side
    521,032x = 607,402,009,600
  5. Step 5: Solve for x
    x = 607,402,009,600/521,032
  6. Step 6: Final answer
    x = 1,165,767.19

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.