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Finding the Third Proportional to 291,436 and 463,410

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Solution

The third proportional to 291,436 and 463,410 is: 736,864.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,436 : 463,410 = 463,410 : x
  2. Step 2: Convert to fraction form
    291,436/463,410 = 463,410/x
  3. Step 3: Cross multiply
    291,436x = 463,410 × 463,410
  4. Step 4: Simplify right side
    291,436x = 214,748,828,100
  5. Step 5: Solve for x
    x = 214,748,828,100/291,436
  6. Step 6: Final answer
    x = 736,864.45

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.