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Finding the Third Proportional to 595,292 and 898,476

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Solution

The third proportional to 595,292 and 898,476 is: 1,356,072.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    595,292 : 898,476 = 898,476 : x
  2. Step 2: Convert to fraction form
    595,292/898,476 = 898,476/x
  3. Step 3: Cross multiply
    595,292x = 898,476 × 898,476
  4. Step 4: Simplify right side
    595,292x = 807,259,122,576
  5. Step 5: Solve for x
    x = 807,259,122,576/595,292
  6. Step 6: Final answer
    x = 1,356,072.52

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.