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Finding the Third Proportional to 293,012 and 631,528

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Solution

The third proportional to 293,012 and 631,528 is: 1,361,130.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,012 : 631,528 = 631,528 : x
  2. Step 2: Convert to fraction form
    293,012/631,528 = 631,528/x
  3. Step 3: Cross multiply
    293,012x = 631,528 × 631,528
  4. Step 4: Simplify right side
    293,012x = 398,827,614,784
  5. Step 5: Solve for x
    x = 398,827,614,784/293,012
  6. Step 6: Final answer
    x = 1,361,130.65

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.