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Finding the Third Proportional to 562,020 and 843,051

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Solution

The third proportional to 562,020 and 843,051 is: 1,264,608.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,020 : 843,051 = 843,051 : x
  2. Step 2: Convert to fraction form
    562,020/843,051 = 843,051/x
  3. Step 3: Cross multiply
    562,020x = 843,051 × 843,051
  4. Step 4: Simplify right side
    562,020x = 710,734,988,601
  5. Step 5: Solve for x
    x = 710,734,988,601/562,020
  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.