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Finding the Third Proportional to 526,608 and 794,547

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Solution

The third proportional to 526,608 and 794,547 is: 1,198,813.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    526,608 : 794,547 = 794,547 : x
  2. Step 2: Convert to fraction form
    526,608/794,547 = 794,547/x
  3. Step 3: Cross multiply
    526,608x = 794,547 × 794,547
  4. Step 4: Simplify right side
    526,608x = 631,304,935,209
  5. Step 5: Solve for x
    x = 631,304,935,209/526,608
  6. Step 6: Final answer
    x = 1,198,813.80

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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.