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Finding the Third Proportional to 631,219.50 and 977,852.25

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Solution

The third proportional to 631,219.50 and 977,852.25 is: 1,514,837.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    631,219.50 : 977,852.25 = 977,852.25 : x
  2. Step 2: Convert to fraction form
    631,219.50/977,852.25 = 977,852.25/x
  3. Step 3: Cross multiply
    631,219.50x = 977,852.25 × 977,852.25
  4. Step 4: Simplify right side
    631,219.50x = 956,195,022,830.06
  5. Step 5: Solve for x
    x = 956,195,022,830.06/631,219.50
  6. Step 6: Final answer
    x = 1,514,837.58

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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.