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Finding the Third Proportional to 412,881.75 and 634,807.13

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Solution

The third proportional to 412,881.75 and 634,807.13 is: 976,018.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,881.75 : 634,807.13 = 634,807.13 : x
  2. Step 2: Convert to fraction form
    412,881.75/634,807.13 = 634,807.13/x
  3. Step 3: Cross multiply
    412,881.75x = 634,807.13 × 634,807.13
  4. Step 4: Simplify right side
    412,881.75x = 402,980,085,950.77
  5. Step 5: Solve for x
    x = 402,980,085,950.77/412,881.75
  6. Step 6: Final answer
    x = 976,018.16

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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.