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Finding the Third Proportional to 460,866 and 671,035.50

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Solution

The third proportional to 460,866 and 671,035.50 is: 977,048.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,866 : 671,035.50 = 671,035.50 : x
  2. Step 2: Convert to fraction form
    460,866/671,035.50 = 671,035.50/x
  3. Step 3: Cross multiply
    460,866x = 671,035.50 × 671,035.50
  4. Step 4: Simplify right side
    460,866x = 450,288,642,260.25
  5. Step 5: Solve for x
    x = 450,288,642,260.25/460,866
  6. Step 6: Final answer
    x = 977,048.95

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.