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Finding the Third Proportional to 310,248 and 670,008

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Solution

The third proportional to 310,248 and 670,008 is: 1,446,941.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,248 : 670,008 = 670,008 : x
  2. Step 2: Convert to fraction form
    310,248/670,008 = 670,008/x
  3. Step 3: Cross multiply
    310,248x = 670,008 × 670,008
  4. Step 4: Simplify right side
    310,248x = 448,910,720,064
  5. Step 5: Solve for x
    x = 448,910,720,064/310,248
  6. Step 6: Final answer
    x = 1,446,941.54

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.