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Finding the Third Proportional to 678,835.69 and 1,006,502.63

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Solution

The third proportional to 678,835.69 and 1,006,502.63 is: 1,492,330.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    678,835.69 : 1,006,502.63 = 1,006,502.63 : x
  2. Step 2: Convert to fraction form
    678,835.69/1,006,502.63 = 1,006,502.63/x
  3. Step 3: Cross multiply
    678,835.69x = 1,006,502.63 × 1,006,502.63
  4. Step 4: Simplify right side
    678,835.69x = 1,013,047,534,131.89
  5. Step 5: Solve for x
    x = 1,013,047,534,131.89/678,835.69
  6. Step 6: Final answer
    x = 1,492,330.99

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.