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Finding the Third Proportional to 513,963 and 756,045.75

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Solution

The third proportional to 513,963 and 756,045.75 is: 1,112,152.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,963 : 756,045.75 = 756,045.75 : x
  2. Step 2: Convert to fraction form
    513,963/756,045.75 = 756,045.75/x
  3. Step 3: Cross multiply
    513,963x = 756,045.75 × 756,045.75
  4. Step 4: Simplify right side
    513,963x = 571,605,176,093.06
  5. Step 5: Solve for x
    x = 571,605,176,093.06/513,963
  6. Step 6: Final answer
    x = 1,112,152.38

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.