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Finding the Third Proportional to 245,870 and 370,536

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Solution

The third proportional to 245,870 and 370,536 is: 558,412.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,870 : 370,536 = 370,536 : x
  2. Step 2: Convert to fraction form
    245,870/370,536 = 370,536/x
  3. Step 3: Cross multiply
    245,870x = 370,536 × 370,536
  4. Step 4: Simplify right side
    245,870x = 137,296,927,296
  5. Step 5: Solve for x
    x = 137,296,927,296/245,870
  6. Step 6: Final answer
    x = 558,412.69

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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.