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Finding the Third Proportional to 244,490 and 389,033

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Solution

The third proportional to 244,490 and 389,033 is: 619,030.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,490 : 389,033 = 389,033 : x
  2. Step 2: Convert to fraction form
    244,490/389,033 = 389,033/x
  3. Step 3: Cross multiply
    244,490x = 389,033 × 389,033
  4. Step 4: Simplify right side
    244,490x = 151,346,675,089
  5. Step 5: Solve for x
    x = 151,346,675,089/244,490
  6. Step 6: Final answer
    x = 619,030.12

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.