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Finding the Third Proportional to 608,948 and 865,514

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Solution

The third proportional to 608,948 and 865,514 is: 1,230,178.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    608,948 : 865,514 = 865,514 : x
  2. Step 2: Convert to fraction form
    608,948/865,514 = 865,514/x
  3. Step 3: Cross multiply
    608,948x = 865,514 × 865,514
  4. Step 4: Simplify right side
    608,948x = 749,114,484,196
  5. Step 5: Solve for x
    x = 749,114,484,196/608,948
  6. Step 6: Final answer
    x = 1,230,178.08

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.