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Finding the Third Proportional to 245,540 and 537,928

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Solution

The third proportional to 245,540 and 537,928 is: 1,178,490.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,540 : 537,928 = 537,928 : x
  2. Step 2: Convert to fraction form
    245,540/537,928 = 537,928/x
  3. Step 3: Cross multiply
    245,540x = 537,928 × 537,928
  4. Step 4: Simplify right side
    245,540x = 289,366,533,184
  5. Step 5: Solve for x
    x = 289,366,533,184/245,540
  6. Step 6: Final answer
    x = 1,178,490.40

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.