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Finding the Third Proportional to 463,895.50 and 718,289

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Solution

The third proportional to 463,895.50 and 718,289 is: 1,112,188.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,895.50 : 718,289 = 718,289 : x
  2. Step 2: Convert to fraction form
    463,895.50/718,289 = 718,289/x
  3. Step 3: Cross multiply
    463,895.50x = 718,289 × 718,289
  4. Step 4: Simplify right side
    463,895.50x = 515,939,087,521
  5. Step 5: Solve for x
    x = 515,939,087,521/463,895.50
  6. Step 6: Final answer
    x = 1,112,188.17

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.