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Finding the Third Proportional to 323,200.13 and 432,297

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Solution

The third proportional to 323,200.13 and 432,297 is: 578,219.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,200.13 : 432,297 = 432,297 : x
  2. Step 2: Convert to fraction form
    323,200.13/432,297 = 432,297/x
  3. Step 3: Cross multiply
    323,200.13x = 432,297 × 432,297
  4. Step 4: Simplify right side
    323,200.13x = 186,880,696,209
  5. Step 5: Solve for x
    x = 186,880,696,209/323,200.13
  6. Step 6: Final answer
    x = 578,219.75

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.