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Finding the Third Proportional to 316,826 and 460,971

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Solution

The third proportional to 316,826 and 460,971 is: 670,697.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,826 : 460,971 = 460,971 : x
  2. Step 2: Convert to fraction form
    316,826/460,971 = 460,971/x
  3. Step 3: Cross multiply
    316,826x = 460,971 × 460,971
  4. Step 4: Simplify right side
    316,826x = 212,494,262,841
  5. Step 5: Solve for x
    x = 212,494,262,841/316,826
  6. Step 6: Final answer
    x = 670,697.05

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.