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Finding the Third Proportional to 670,258.50 and 1,436,460

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Solution

The third proportional to 670,258.50 and 1,436,460 is: 3,078,539.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    670,258.50 : 1,436,460 = 1,436,460 : x
  2. Step 2: Convert to fraction form
    670,258.50/1,436,460 = 1,436,460/x
  3. Step 3: Cross multiply
    670,258.50x = 1,436,460 × 1,436,460
  4. Step 4: Simplify right side
    670,258.50x = 2,063,417,331,600
  5. Step 5: Solve for x
    x = 2,063,417,331,600/670,258.50
  6. Step 6: Final answer
    x = 3,078,539.60

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.