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Finding the Third Proportional to 365,001.19 and 786,160.69

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Solution

The third proportional to 365,001.19 and 786,160.69 is: 1,693,278.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,001.19 : 786,160.69 = 786,160.69 : x
  2. Step 2: Convert to fraction form
    365,001.19/786,160.69 = 786,160.69/x
  3. Step 3: Cross multiply
    365,001.19x = 786,160.69 × 786,160.69
  4. Step 4: Simplify right side
    365,001.19x = 618,048,626,570.47
  5. Step 5: Solve for x
    x = 618,048,626,570.47/365,001.19
  6. Step 6: Final answer
    x = 1,693,278.40

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.