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Finding the Third Proportional to 516,954 and 772,332

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Solution

The third proportional to 516,954 and 772,332 is: 1,153,868.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,954 : 772,332 = 772,332 : x
  2. Step 2: Convert to fraction form
    516,954/772,332 = 772,332/x
  3. Step 3: Cross multiply
    516,954x = 772,332 × 772,332
  4. Step 4: Simplify right side
    516,954x = 596,496,718,224
  5. Step 5: Solve for x
    x = 596,496,718,224/516,954
  6. Step 6: Final answer
    x = 1,153,868.08

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.