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Finding the Third Proportional to 322,164 and 473,383.13

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Solution

The third proportional to 322,164 and 473,383.13 is: 695,582.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,164 : 473,383.13 = 473,383.13 : x
  2. Step 2: Convert to fraction form
    322,164/473,383.13 = 473,383.13/x
  3. Step 3: Cross multiply
    322,164x = 473,383.13 × 473,383.13
  4. Step 4: Simplify right side
    322,164x = 224,091,583,034.77
  5. Step 5: Solve for x
    x = 224,091,583,034.77/322,164
  6. Step 6: Final answer
    x = 695,582.32

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.