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Finding the Third Proportional to 418,462 and 537,297

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Solution

The third proportional to 418,462 and 537,297 is: 689,878.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,462 : 537,297 = 537,297 : x
  2. Step 2: Convert to fraction form
    418,462/537,297 = 537,297/x
  3. Step 3: Cross multiply
    418,462x = 537,297 × 537,297
  4. Step 4: Simplify right side
    418,462x = 288,688,066,209
  5. Step 5: Solve for x
    x = 288,688,066,209/418,462
  6. Step 6: Final answer
    x = 689,878.81

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.