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Finding the Third Proportional to 471,868 and 750,557

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Solution

The third proportional to 471,868 and 750,557 is: 1,193,841.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,868 : 750,557 = 750,557 : x
  2. Step 2: Convert to fraction form
    471,868/750,557 = 750,557/x
  3. Step 3: Cross multiply
    471,868x = 750,557 × 750,557
  4. Step 4: Simplify right side
    471,868x = 563,335,810,249
  5. Step 5: Solve for x
    x = 563,335,810,249/471,868
  6. Step 6: Final answer
    x = 1,193,841.94

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.