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Finding the Third Proportional to 524,547 and 810,060.75

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Solution

The third proportional to 524,547 and 810,060.75 is: 1,250,981.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,547 : 810,060.75 = 810,060.75 : x
  2. Step 2: Convert to fraction form
    524,547/810,060.75 = 810,060.75/x
  3. Step 3: Cross multiply
    524,547x = 810,060.75 × 810,060.75
  4. Step 4: Simplify right side
    524,547x = 656,198,418,690.56
  5. Step 5: Solve for x
    x = 656,198,418,690.56/524,547
  6. Step 6: Final answer
    x = 1,250,981.17

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.