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Finding the Third Proportional to 528,592 and 805,282

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Solution

The third proportional to 528,592 and 805,282 is: 1,226,804.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    528,592 : 805,282 = 805,282 : x
  2. Step 2: Convert to fraction form
    528,592/805,282 = 805,282/x
  3. Step 3: Cross multiply
    528,592x = 805,282 × 805,282
  4. Step 4: Simplify right side
    528,592x = 648,479,099,524
  5. Step 5: Solve for x
    x = 648,479,099,524/528,592
  6. Step 6: Final answer
    x = 1,226,804.60

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.