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Finding the Third Proportional to 182,407 and 390,033

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Solution

The third proportional to 182,407 and 390,033 is: 833,990.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,407 : 390,033 = 390,033 : x
  2. Step 2: Convert to fraction form
    182,407/390,033 = 390,033/x
  3. Step 3: Cross multiply
    182,407x = 390,033 × 390,033
  4. Step 4: Simplify right side
    182,407x = 152,125,741,089
  5. Step 5: Solve for x
    x = 152,125,741,089/182,407
  6. Step 6: Final answer
    x = 833,990.70

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.