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Finding the Third Proportional to 369,723 and 570,888

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Solution

The third proportional to 369,723 and 570,888 is: 881,506.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,723 : 570,888 = 570,888 : x
  2. Step 2: Convert to fraction form
    369,723/570,888 = 570,888/x
  3. Step 3: Cross multiply
    369,723x = 570,888 × 570,888
  4. Step 4: Simplify right side
    369,723x = 325,913,108,544
  5. Step 5: Solve for x
    x = 325,913,108,544/369,723
  6. Step 6: Final answer
    x = 881,506.18

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.