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Finding the Third Proportional to 310,989 and 421,981.50

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Solution

The third proportional to 310,989 and 421,981.50 is: 572,587.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,989 : 421,981.50 = 421,981.50 : x
  2. Step 2: Convert to fraction form
    310,989/421,981.50 = 421,981.50/x
  3. Step 3: Cross multiply
    310,989x = 421,981.50 × 421,981.50
  4. Step 4: Simplify right side
    310,989x = 178,068,386,342.25
  5. Step 5: Solve for x
    x = 178,068,386,342.25/310,989
  6. Step 6: Final answer
    x = 572,587.41

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.