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Finding the Third Proportional to 448,039.13 and 709,795.13

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Solution

The third proportional to 448,039.13 and 709,795.13 is: 1,124,475.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,039.13 : 709,795.13 = 709,795.13 : x
  2. Step 2: Convert to fraction form
    448,039.13/709,795.13 = 709,795.13/x
  3. Step 3: Cross multiply
    448,039.13x = 709,795.13 × 709,795.13
  4. Step 4: Simplify right side
    448,039.13x = 503,809,119,473.77
  5. Step 5: Solve for x
    x = 503,809,119,473.77/448,039.13
  6. Step 6: Final answer
    x = 1,124,475.72

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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.