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Finding the Third Proportional to 356,817 and 525,369

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Solution

The third proportional to 356,817 and 525,369 is: 773,541.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,817 : 525,369 = 525,369 : x
  2. Step 2: Convert to fraction form
    356,817/525,369 = 525,369/x
  3. Step 3: Cross multiply
    356,817x = 525,369 × 525,369
  4. Step 4: Simplify right side
    356,817x = 276,012,586,161
  5. Step 5: Solve for x
    x = 276,012,586,161/356,817
  6. Step 6: Final answer
    x = 773,541.02

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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.