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Finding the Third Proportional to 592,732 and 847,004

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Solution

The third proportional to 592,732 and 847,004 is: 1,210,354.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    592,732 : 847,004 = 847,004 : x
  2. Step 2: Convert to fraction form
    592,732/847,004 = 847,004/x
  3. Step 3: Cross multiply
    592,732x = 847,004 × 847,004
  4. Step 4: Simplify right side
    592,732x = 717,415,776,016
  5. Step 5: Solve for x
    x = 717,415,776,016/592,732
  6. Step 6: Final answer
    x = 1,210,354.39

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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.