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Finding the Third Proportional to 453,473 and 677,841

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Solution

The third proportional to 453,473 and 677,841 is: 1,013,221.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,473 : 677,841 = 677,841 : x
  2. Step 2: Convert to fraction form
    453,473/677,841 = 677,841/x
  3. Step 3: Cross multiply
    453,473x = 677,841 × 677,841
  4. Step 4: Simplify right side
    453,473x = 459,468,421,281
  5. Step 5: Solve for x
    x = 459,468,421,281/453,473
  6. Step 6: Final answer
    x = 1,013,221.12

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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.