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Finding the Third Proportional to 262,613 and 572,754.50

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Solution

The third proportional to 262,613 and 572,754.50 is: 1,249,167.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,613 : 572,754.50 = 572,754.50 : x
  2. Step 2: Convert to fraction form
    262,613/572,754.50 = 572,754.50/x
  3. Step 3: Cross multiply
    262,613x = 572,754.50 × 572,754.50
  4. Step 4: Simplify right side
    262,613x = 328,047,717,270.25
  5. Step 5: Solve for x
    x = 328,047,717,270.25/262,613
  6. Step 6: Final answer
    x = 1,249,167.85

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.