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Finding the Third Proportional to 407,569.50 and 598,887

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Solution

The third proportional to 407,569.50 and 598,887 is: 880,010.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,569.50 : 598,887 = 598,887 : x
  2. Step 2: Convert to fraction form
    407,569.50/598,887 = 598,887/x
  3. Step 3: Cross multiply
    407,569.50x = 598,887 × 598,887
  4. Step 4: Simplify right side
    407,569.50x = 358,665,638,769
  5. Step 5: Solve for x
    x = 358,665,638,769/407,569.50
  6. Step 6: Final answer
    x = 880,010.99

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.