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Finding the Third Proportional to 276,457.50 and 602,937

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Solution

The third proportional to 276,457.50 and 602,937 is: 1,314,968.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,457.50 : 602,937 = 602,937 : x
  2. Step 2: Convert to fraction form
    276,457.50/602,937 = 602,937/x
  3. Step 3: Cross multiply
    276,457.50x = 602,937 × 602,937
  4. Step 4: Simplify right side
    276,457.50x = 363,533,025,969
  5. Step 5: Solve for x
    x = 363,533,025,969/276,457.50
  6. Step 6: Final answer
    x = 1,314,968.94

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.