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Finding the Third Proportional to 288,214 and 460,428

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Solution

The third proportional to 288,214 and 460,428 is: 735,543.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,214 : 460,428 = 460,428 : x
  2. Step 2: Convert to fraction form
    288,214/460,428 = 460,428/x
  3. Step 3: Cross multiply
    288,214x = 460,428 × 460,428
  4. Step 4: Simplify right side
    288,214x = 211,993,943,184
  5. Step 5: Solve for x
    x = 211,993,943,184/288,214
  6. Step 6: Final answer
    x = 735,543.53

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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.