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Finding the Third Proportional to 261,536.98 and 403,959.02

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Solution

The third proportional to 261,536.98 and 403,959.02 is: 623,938.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,536.98 : 403,959.02 = 403,959.02 : x
  2. Step 2: Convert to fraction form
    261,536.98/403,959.02 = 403,959.02/x
  3. Step 3: Cross multiply
    261,536.98x = 403,959.02 × 403,959.02
  4. Step 4: Simplify right side
    261,536.98x = 163,182,892,616.58
  5. Step 5: Solve for x
    x = 163,182,892,616.58/261,536.98
  6. Step 6: Final answer
    x = 623,938.13

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.