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Finding the Third Proportional to 245,970 and 540,090

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Solution

The third proportional to 245,970 and 540,090 is: 1,185,905.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,970 : 540,090 = 540,090 : x
  2. Step 2: Convert to fraction form
    245,970/540,090 = 540,090/x
  3. Step 3: Cross multiply
    245,970x = 540,090 × 540,090
  4. Step 4: Simplify right side
    245,970x = 291,697,208,100
  5. Step 5: Solve for x
    x = 291,697,208,100/245,970
  6. Step 6: Final answer
    x = 1,185,905.63

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.