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Finding the Third Proportional to 360,919.13 and 783,307.13

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Solution

The third proportional to 360,919.13 and 783,307.13 is: 1,700,020.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,919.13 : 783,307.13 = 783,307.13 : x
  2. Step 2: Convert to fraction form
    360,919.13/783,307.13 = 783,307.13/x
  3. Step 3: Cross multiply
    360,919.13x = 783,307.13 × 783,307.13
  4. Step 4: Simplify right side
    360,919.13x = 613,570,052,075.77
  5. Step 5: Solve for x
    x = 613,570,052,075.77/360,919.13
  6. Step 6: Final answer
    x = 1,700,020.89

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.