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Finding the Third Proportional to 302,433.91 and 652,114.71

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Solution

The third proportional to 302,433.91 and 652,114.71 is: 1,406,104.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,433.91 : 652,114.71 = 652,114.71 : x
  2. Step 2: Convert to fraction form
    302,433.91/652,114.71 = 652,114.71/x
  3. Step 3: Cross multiply
    302,433.91x = 652,114.71 × 652,114.71
  4. Step 4: Simplify right side
    302,433.91x = 425,253,588,579.12
  5. Step 5: Solve for x
    x = 425,253,588,579.12/302,433.91
  6. Step 6: Final answer
    x = 1,406,104.20

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.