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Finding the Third Proportional to 526,360 and 799,386

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Solution

The third proportional to 526,360 and 799,386 is: 1,214,032.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    526,360 : 799,386 = 799,386 : x
  2. Step 2: Convert to fraction form
    526,360/799,386 = 799,386/x
  3. Step 3: Cross multiply
    526,360x = 799,386 × 799,386
  4. Step 4: Simplify right side
    526,360x = 639,017,976,996
  5. Step 5: Solve for x
    x = 639,017,976,996/526,360
  6. Step 6: Final answer
    x = 1,214,032.18

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.