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Finding the Third Proportional to 489,756.38 and 756,798.19

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Solution

The third proportional to 489,756.38 and 756,798.19 is: 1,169,445.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,756.38 : 756,798.19 = 756,798.19 : x
  2. Step 2: Convert to fraction form
    489,756.38/756,798.19 = 756,798.19/x
  3. Step 3: Cross multiply
    489,756.38x = 756,798.19 × 756,798.19
  4. Step 4: Simplify right side
    489,756.38x = 572,743,496,603.29
  5. Step 5: Solve for x
    x = 572,743,496,603.29/489,756.38
  6. Step 6: Final answer
    x = 1,169,445.72

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.