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Finding the Third Proportional to 295,384 and 445,506

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Solution

The third proportional to 295,384 and 445,506 is: 671,923.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,384 : 445,506 = 445,506 : x
  2. Step 2: Convert to fraction form
    295,384/445,506 = 445,506/x
  3. Step 3: Cross multiply
    295,384x = 445,506 × 445,506
  4. Step 4: Simplify right side
    295,384x = 198,475,596,036
  5. Step 5: Solve for x
    x = 198,475,596,036/295,384
  6. Step 6: Final answer
    x = 671,923.99

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.