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Finding the Third Proportional to 448,465.50 and 671,463

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Solution

The third proportional to 448,465.50 and 671,463 is: 1,005,345.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,465.50 : 671,463 = 671,463 : x
  2. Step 2: Convert to fraction form
    448,465.50/671,463 = 671,463/x
  3. Step 3: Cross multiply
    448,465.50x = 671,463 × 671,463
  4. Step 4: Simplify right side
    448,465.50x = 450,862,560,369
  5. Step 5: Solve for x
    x = 450,862,560,369/448,465.50
  6. Step 6: Final answer
    x = 1,005,345.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.