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Finding the Third Proportional to 301,762.69 and 655,426.13

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Solution

The third proportional to 301,762.69 and 655,426.13 is: 1,423,580.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,762.69 : 655,426.13 = 655,426.13 : x
  2. Step 2: Convert to fraction form
    301,762.69/655,426.13 = 655,426.13/x
  3. Step 3: Cross multiply
    301,762.69x = 655,426.13 × 655,426.13
  4. Step 4: Simplify right side
    301,762.69x = 429,583,405,332.52
  5. Step 5: Solve for x
    x = 429,583,405,332.52/301,762.69
  6. Step 6: Final answer
    x = 1,423,580.26

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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.