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Finding the Third Proportional to 288,237 and 460,461

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Solution

The third proportional to 288,237 and 460,461 is: 735,590.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,237 : 460,461 = 460,461 : x
  2. Step 2: Convert to fraction form
    288,237/460,461 = 460,461/x
  3. Step 3: Cross multiply
    288,237x = 460,461 × 460,461
  4. Step 4: Simplify right side
    288,237x = 212,024,332,521
  5. Step 5: Solve for x
    x = 212,024,332,521/288,237
  6. Step 6: Final answer
    x = 735,590.27

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.