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Finding the Third Proportional to 344,133 and 506,044

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Solution

The third proportional to 344,133 and 506,044 is: 744,132.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,133 : 506,044 = 506,044 : x
  2. Step 2: Convert to fraction form
    344,133/506,044 = 506,044/x
  3. Step 3: Cross multiply
    344,133x = 506,044 × 506,044
  4. Step 4: Simplify right side
    344,133x = 256,080,529,936
  5. Step 5: Solve for x
    x = 256,080,529,936/344,133
  6. Step 6: Final answer
    x = 744,132.44

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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.