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Finding the Third Proportional to 348,502 and 512,541

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Solution

The third proportional to 348,502 and 512,541 is: 753,792.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,502 : 512,541 = 512,541 : x
  2. Step 2: Convert to fraction form
    348,502/512,541 = 512,541/x
  3. Step 3: Cross multiply
    348,502x = 512,541 × 512,541
  4. Step 4: Simplify right side
    348,502x = 262,698,276,681
  5. Step 5: Solve for x
    x = 262,698,276,681/348,502
  6. Step 6: Final answer
    x = 753,792.74

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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.