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Finding the Third Proportional to 200,849.63 and 473,320.13

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Solution

The third proportional to 200,849.63 and 473,320.13 is: 1,115,421.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,849.63 : 473,320.13 = 473,320.13 : x
  2. Step 2: Convert to fraction form
    200,849.63/473,320.13 = 473,320.13/x
  3. Step 3: Cross multiply
    200,849.63x = 473,320.13 × 473,320.13
  4. Step 4: Simplify right side
    200,849.63x = 224,031,940,730.02
  5. Step 5: Solve for x
    x = 224,031,940,730.02/200,849.63
  6. Step 6: Final answer
    x = 1,115,421.25

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.