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Finding the Third Proportional to 246,710.25 and 512,812.13

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Solution

The third proportional to 246,710.25 and 512,812.13 is: 1,065,931.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,710.25 : 512,812.13 = 512,812.13 : x
  2. Step 2: Convert to fraction form
    246,710.25/512,812.13 = 512,812.13/x
  3. Step 3: Cross multiply
    246,710.25x = 512,812.13 × 512,812.13
  4. Step 4: Simplify right side
    246,710.25x = 262,976,275,547.02
  5. Step 5: Solve for x
    x = 262,976,275,547.02/246,710.25
  6. Step 6: Final answer
    x = 1,065,931.70

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.