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Finding the Third Proportional to 631,206 and 977,832

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Solution

The third proportional to 631,206 and 977,832 is: 1,514,807.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    631,206 : 977,832 = 977,832 : x
  2. Step 2: Convert to fraction form
    631,206/977,832 = 977,832/x
  3. Step 3: Cross multiply
    631,206x = 977,832 × 977,832
  4. Step 4: Simplify right side
    631,206x = 956,155,420,224
  5. Step 5: Solve for x
    x = 956,155,420,224/631,206
  6. Step 6: Final answer
    x = 1,514,807.24

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.