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Finding the Third Proportional to 261,935.02 and 575,306.30

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Solution

The third proportional to 261,935.02 and 575,306.30 is: 1,263,585.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,935.02 : 575,306.30 = 575,306.30 : x
  2. Step 2: Convert to fraction form
    261,935.02/575,306.30 = 575,306.30/x
  3. Step 3: Cross multiply
    261,935.02x = 575,306.30 × 575,306.30
  4. Step 4: Simplify right side
    261,935.02x = 330,977,335,224.03
  5. Step 5: Solve for x
    x = 330,977,335,224.03/261,935.02
  6. Step 6: Final answer
    x = 1,263,585.68

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.