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Finding the Third Proportional to 583,248 and 834,048

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Solution

The third proportional to 583,248 and 834,048 is: 1,192,693.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,248 : 834,048 = 834,048 : x
  2. Step 2: Convert to fraction form
    583,248/834,048 = 834,048/x
  3. Step 3: Cross multiply
    583,248x = 834,048 × 834,048
  4. Step 4: Simplify right side
    583,248x = 695,636,066,304
  5. Step 5: Solve for x
    x = 695,636,066,304/583,248
  6. Step 6: Final answer
    x = 1,192,693.44

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.