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Finding the Third Proportional to 562,032 and 843,060

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Solution

The third proportional to 562,032 and 843,060 is: 1,264,608.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,032 : 843,060 = 843,060 : x
  2. Step 2: Convert to fraction form
    562,032/843,060 = 843,060/x
  3. Step 3: Cross multiply
    562,032x = 843,060 × 843,060
  4. Step 4: Simplify right side
    562,032x = 710,750,163,600
  5. Step 5: Solve for x
    x = 710,750,163,600/562,032
  6. Step 6: Final answer
    x = 1,264,608.00

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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.