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Finding the Third Proportional to 535,308 and 807,498

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Solution

The third proportional to 535,308 and 807,498 is: 1,218,089.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,308 : 807,498 = 807,498 : x
  2. Step 2: Convert to fraction form
    535,308/807,498 = 807,498/x
  3. Step 3: Cross multiply
    535,308x = 807,498 × 807,498
  4. Step 4: Simplify right side
    535,308x = 652,053,020,004
  5. Step 5: Solve for x
    x = 652,053,020,004/535,308
  6. Step 6: Final answer
    x = 1,218,089.44

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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.