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Finding the Third Proportional to 570,240 and 882,864

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Solution

The third proportional to 570,240 and 882,864 is: 1,366,878.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    570,240 : 882,864 = 882,864 : x
  2. Step 2: Convert to fraction form
    570,240/882,864 = 882,864/x
  3. Step 3: Cross multiply
    570,240x = 882,864 × 882,864
  4. Step 4: Simplify right side
    570,240x = 779,448,842,496
  5. Step 5: Solve for x
    x = 779,448,842,496/570,240
  6. Step 6: Final answer
    x = 1,366,878.58

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.