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Finding the Third Proportional to 310,070 and 669,712

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Solution

The third proportional to 310,070 and 669,712 is: 1,446,493.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,070 : 669,712 = 669,712 : x
  2. Step 2: Convert to fraction form
    310,070/669,712 = 669,712/x
  3. Step 3: Cross multiply
    310,070x = 669,712 × 669,712
  4. Step 4: Simplify right side
    310,070x = 448,514,162,944
  5. Step 5: Solve for x
    x = 448,514,162,944/310,070
  6. Step 6: Final answer
    x = 1,446,493.25

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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.