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Finding the Third Proportional to 246,699 and 537,948

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Solution

The third proportional to 246,699 and 537,948 is: 1,173,041.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,699 : 537,948 = 537,948 : x
  2. Step 2: Convert to fraction form
    246,699/537,948 = 537,948/x
  3. Step 3: Cross multiply
    246,699x = 537,948 × 537,948
  4. Step 4: Simplify right side
    246,699x = 289,388,050,704
  5. Step 5: Solve for x
    x = 289,388,050,704/246,699
  6. Step 6: Final answer
    x = 1,173,041.04

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Why These Related Problems?

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