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Finding the Third Proportional to 344,088 and 506,012

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Solution

The third proportional to 344,088 and 506,012 is: 744,135.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,088 : 506,012 = 506,012 : x
  2. Step 2: Convert to fraction form
    344,088/506,012 = 506,012/x
  3. Step 3: Cross multiply
    344,088x = 506,012 × 506,012
  4. Step 4: Simplify right side
    344,088x = 256,048,144,144
  5. Step 5: Solve for x
    x = 256,048,144,144/344,088
  6. Step 6: Final answer
    x = 744,135.64

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.