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Finding the Third Proportional to 460,971 and 621,418.50

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Solution

The third proportional to 460,971 and 621,418.50 is: 837,712.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,971 : 621,418.50 = 621,418.50 : x
  2. Step 2: Convert to fraction form
    460,971/621,418.50 = 621,418.50/x
  3. Step 3: Cross multiply
    460,971x = 621,418.50 × 621,418.50
  4. Step 4: Simplify right side
    460,971x = 386,160,952,142.25
  5. Step 5: Solve for x
    x = 386,160,952,142.25/460,971
  6. Step 6: Final answer
    x = 837,712.03

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.