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Finding the Third Proportional to 448,060.50 and 709,823.25

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Solution

The third proportional to 448,060.50 and 709,823.25 is: 1,124,511.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,060.50 : 709,823.25 = 709,823.25 : x
  2. Step 2: Convert to fraction form
    448,060.50/709,823.25 = 709,823.25/x
  3. Step 3: Cross multiply
    448,060.50x = 709,823.25 × 709,823.25
  4. Step 4: Simplify right side
    448,060.50x = 503,849,046,240.56
  5. Step 5: Solve for x
    x = 503,849,046,240.56/448,060.50
  6. Step 6: Final answer
    x = 1,124,511.19

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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.