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Finding the Third Proportional to 420,411 and 604,372.50

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Solution

The third proportional to 420,411 and 604,372.50 is: 868,831.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,411 : 604,372.50 = 604,372.50 : x
  2. Step 2: Convert to fraction form
    420,411/604,372.50 = 604,372.50/x
  3. Step 3: Cross multiply
    420,411x = 604,372.50 × 604,372.50
  4. Step 4: Simplify right side
    420,411x = 365,266,118,756.25
  5. Step 5: Solve for x
    x = 365,266,118,756.25/420,411
  6. Step 6: Final answer
    x = 868,831.02

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.