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Finding the Third Proportional to 264,780 and 370,386

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Solution

The third proportional to 264,780 and 370,386 is: 518,112.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,780 : 370,386 = 370,386 : x
  2. Step 2: Convert to fraction form
    264,780/370,386 = 370,386/x
  3. Step 3: Cross multiply
    264,780x = 370,386 × 370,386
  4. Step 4: Simplify right side
    264,780x = 137,185,788,996
  5. Step 5: Solve for x
    x = 137,185,788,996/264,780
  6. Step 6: Final answer
    x = 518,112.35

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.