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Finding the Third Proportional to 269,748 and 583,236

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Solution

The third proportional to 269,748 and 583,236 is: 1,261,044.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,748 : 583,236 = 583,236 : x
  2. Step 2: Convert to fraction form
    269,748/583,236 = 583,236/x
  3. Step 3: Cross multiply
    269,748x = 583,236 × 583,236
  4. Step 4: Simplify right side
    269,748x = 340,164,231,696
  5. Step 5: Solve for x
    x = 340,164,231,696/269,748
  6. Step 6: Final answer
    x = 1,261,044.50

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.