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Finding the Third Proportional to 310,058 and 465,091

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Solution

The third proportional to 310,058 and 465,091 is: 697,642.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,058 : 465,091 = 465,091 : x
  2. Step 2: Convert to fraction form
    310,058/465,091 = 465,091/x
  3. Step 3: Cross multiply
    310,058x = 465,091 × 465,091
  4. Step 4: Simplify right side
    310,058x = 216,309,638,281
  5. Step 5: Solve for x
    x = 216,309,638,281/310,058
  6. Step 6: Final answer
    x = 697,642.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.