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Finding the Third Proportional to 578,114 and 908,083

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Solution

The third proportional to 578,114 and 908,083 is: 1,426,387.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    578,114 : 908,083 = 908,083 : x
  2. Step 2: Convert to fraction form
    578,114/908,083 = 908,083/x
  3. Step 3: Cross multiply
    578,114x = 908,083 × 908,083
  4. Step 4: Simplify right side
    578,114x = 824,614,734,889
  5. Step 5: Solve for x
    x = 824,614,734,889/578,114
  6. Step 6: Final answer
    x = 1,426,387.76

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.