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Finding the Third Proportional to 376,242 and 803,514

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Solution

The third proportional to 376,242 and 803,514 is: 1,716,009.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,242 : 803,514 = 803,514 : x
  2. Step 2: Convert to fraction form
    376,242/803,514 = 803,514/x
  3. Step 3: Cross multiply
    376,242x = 803,514 × 803,514
  4. Step 4: Simplify right side
    376,242x = 645,634,748,196
  5. Step 5: Solve for x
    x = 645,634,748,196/376,242
  6. Step 6: Final answer
    x = 1,716,009.24

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.