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Finding the Third Proportional to 339,938 and 524,547

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Solution

The third proportional to 339,938 and 524,547 is: 809,411.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,938 : 524,547 = 524,547 : x
  2. Step 2: Convert to fraction form
    339,938/524,547 = 524,547/x
  3. Step 3: Cross multiply
    339,938x = 524,547 × 524,547
  4. Step 4: Simplify right side
    339,938x = 275,149,555,209
  5. Step 5: Solve for x
    x = 275,149,555,209/339,938
  6. Step 6: Final answer
    x = 809,411.00

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.