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Finding the Third Proportional to 257,010 and 556,924

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Solution

The third proportional to 257,010 and 556,924 is: 1,206,818.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,010 : 556,924 = 556,924 : x
  2. Step 2: Convert to fraction form
    257,010/556,924 = 556,924/x
  3. Step 3: Cross multiply
    257,010x = 556,924 × 556,924
  4. Step 4: Simplify right side
    257,010x = 310,164,341,776
  5. Step 5: Solve for x
    x = 310,164,341,776/257,010
  6. Step 6: Final answer
    x = 1,206,818.19

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.