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Finding the Third Proportional to 453,465 and 677,828.25

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Solution

The third proportional to 453,465 and 677,828.25 is: 1,013,200.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,465 : 677,828.25 = 677,828.25 : x
  2. Step 2: Convert to fraction form
    453,465/677,828.25 = 677,828.25/x
  3. Step 3: Cross multiply
    453,465x = 677,828.25 × 677,828.25
  4. Step 4: Simplify right side
    453,465x = 459,451,136,498.06
  5. Step 5: Solve for x
    x = 459,451,136,498.06/453,465
  6. Step 6: Final answer
    x = 1,013,200.88

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.