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Finding the Third Proportional to 294,374 and 466,898

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Solution

The third proportional to 294,374 and 466,898 is: 740,533.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,374 : 466,898 = 466,898 : x
  2. Step 2: Convert to fraction form
    294,374/466,898 = 466,898/x
  3. Step 3: Cross multiply
    294,374x = 466,898 × 466,898
  4. Step 4: Simplify right side
    294,374x = 217,993,742,404
  5. Step 5: Solve for x
    x = 217,993,742,404/294,374
  6. Step 6: Final answer
    x = 740,533.28

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.