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Finding the Third Proportional to 448,096.50 and 709,881.75

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Solution

The third proportional to 448,096.50 and 709,881.75 is: 1,124,606.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,096.50 : 709,881.75 = 709,881.75 : x
  2. Step 2: Convert to fraction form
    448,096.50/709,881.75 = 709,881.75/x
  3. Step 3: Cross multiply
    448,096.50x = 709,881.75 × 709,881.75
  4. Step 4: Simplify right side
    448,096.50x = 503,932,098,983.06
  5. Step 5: Solve for x
    x = 503,932,098,983.06/448,096.50
  6. Step 6: Final answer
    x = 1,124,606.19

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.