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Finding the Third Proportional to 349,732 and 531,437

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Solution

The third proportional to 349,732 and 531,437 is: 807,547.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,732 : 531,437 = 531,437 : x
  2. Step 2: Convert to fraction form
    349,732/531,437 = 531,437/x
  3. Step 3: Cross multiply
    349,732x = 531,437 × 531,437
  4. Step 4: Simplify right side
    349,732x = 282,425,284,969
  5. Step 5: Solve for x
    x = 282,425,284,969/349,732
  6. Step 6: Final answer
    x = 807,547.74

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.