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Finding the Third Proportional to 536,055 and 805,280

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Solution

The third proportional to 536,055 and 805,280 is: 1,209,718.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    536,055 : 805,280 = 805,280 : x
  2. Step 2: Convert to fraction form
    536,055/805,280 = 805,280/x
  3. Step 3: Cross multiply
    536,055x = 805,280 × 805,280
  4. Step 4: Simplify right side
    536,055x = 648,475,878,400
  5. Step 5: Solve for x
    x = 648,475,878,400/536,055
  6. Step 6: Final answer
    x = 1,209,718.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.