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Finding the Third Proportional to 523,584 and 805,248

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Solution

The third proportional to 523,584 and 805,248 is: 1,238,434.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,584 : 805,248 = 805,248 : x
  2. Step 2: Convert to fraction form
    523,584/805,248 = 805,248/x
  3. Step 3: Cross multiply
    523,584x = 805,248 × 805,248
  4. Step 4: Simplify right side
    523,584x = 648,424,341,504
  5. Step 5: Solve for x
    x = 648,424,341,504/523,584
  6. Step 6: Final answer
    x = 1,238,434.22

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.