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Finding the Third Proportional to 376,459 and 565,526

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Solution

The third proportional to 376,459 and 565,526 is: 849,547.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,459 : 565,526 = 565,526 : x
  2. Step 2: Convert to fraction form
    376,459/565,526 = 565,526/x
  3. Step 3: Cross multiply
    376,459x = 565,526 × 565,526
  4. Step 4: Simplify right side
    376,459x = 319,819,656,676
  5. Step 5: Solve for x
    x = 319,819,656,676/376,459
  6. Step 6: Final answer
    x = 849,547.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.