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Finding the Third Proportional to 406,155 and 595,377

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Solution

The third proportional to 406,155 and 595,377 is: 872,754.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,155 : 595,377 = 595,377 : x
  2. Step 2: Convert to fraction form
    406,155/595,377 = 595,377/x
  3. Step 3: Cross multiply
    406,155x = 595,377 × 595,377
  4. Step 4: Simplify right side
    406,155x = 354,473,772,129
  5. Step 5: Solve for x
    x = 354,473,772,129/406,155
  6. Step 6: Final answer
    x = 872,754.91

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.