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Finding the Third Proportional to 738,433.50 and 1,613,541

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Solution

The third proportional to 738,433.50 and 1,613,541 is: 3,525,726.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    738,433.50 : 1,613,541 = 1,613,541 : x
  2. Step 2: Convert to fraction form
    738,433.50/1,613,541 = 1,613,541/x
  3. Step 3: Cross multiply
    738,433.50x = 1,613,541 × 1,613,541
  4. Step 4: Simplify right side
    738,433.50x = 2,603,514,558,681
  5. Step 5: Solve for x
    x = 2,603,514,558,681/738,433.50
  6. Step 6: Final answer
    x = 3,525,726.50

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.