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Finding the Third Proportional to 454,410 and 712,984

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Solution

The third proportional to 454,410 and 712,984 is: 1,118,694.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,410 : 712,984 = 712,984 : x
  2. Step 2: Convert to fraction form
    454,410/712,984 = 712,984/x
  3. Step 3: Cross multiply
    454,410x = 712,984 × 712,984
  4. Step 4: Simplify right side
    454,410x = 508,346,184,256
  5. Step 5: Solve for x
    x = 508,346,184,256/454,410
  6. Step 6: Final answer
    x = 1,118,694.98

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.