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Finding the Third Proportional to 524,785.50 and 835,444.13

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Solution

The third proportional to 524,785.50 and 835,444.13 is: 1,330,004.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,785.50 : 835,444.13 = 835,444.13 : x
  2. Step 2: Convert to fraction form
    524,785.50/835,444.13 = 835,444.13/x
  3. Step 3: Cross multiply
    524,785.50x = 835,444.13 × 835,444.13
  4. Step 4: Simplify right side
    524,785.50x = 697,966,885,997.02
  5. Step 5: Solve for x
    x = 697,966,885,997.02/524,785.50
  6. Step 6: Final answer
    x = 1,330,004.14

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.