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Finding the Third Proportional to 344,070 and 505,985

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Solution

The third proportional to 344,070 and 505,985 is: 744,095.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,070 : 505,985 = 505,985 : x
  2. Step 2: Convert to fraction form
    344,070/505,985 = 505,985/x
  3. Step 3: Cross multiply
    344,070x = 505,985 × 505,985
  4. Step 4: Simplify right side
    344,070x = 256,020,820,225
  5. Step 5: Solve for x
    x = 256,020,820,225/344,070
  6. Step 6: Final answer
    x = 744,095.16

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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.