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Finding the Third Proportional to 348,303 and 532,431

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Solution

The third proportional to 348,303 and 532,431 is: 813,897.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,303 : 532,431 = 532,431 : x
  2. Step 2: Convert to fraction form
    348,303/532,431 = 532,431/x
  3. Step 3: Cross multiply
    348,303x = 532,431 × 532,431
  4. Step 4: Simplify right side
    348,303x = 283,482,769,761
  5. Step 5: Solve for x
    x = 283,482,769,761/348,303
  6. Step 6: Final answer
    x = 813,897.01

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.