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Finding the Third Proportional to 245,294 and 529,297

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Solution

The third proportional to 245,294 and 529,297 is: 1,142,120.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,294 : 529,297 = 529,297 : x
  2. Step 2: Convert to fraction form
    245,294/529,297 = 529,297/x
  3. Step 3: Cross multiply
    245,294x = 529,297 × 529,297
  4. Step 4: Simplify right side
    245,294x = 280,155,314,209
  5. Step 5: Solve for x
    x = 280,155,314,209/245,294
  6. Step 6: Final answer
    x = 1,142,120.53

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.