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Finding the Third Proportional to 570,312 and 882,972

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Solution

The third proportional to 570,312 and 882,972 is: 1,367,040.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    570,312 : 882,972 = 882,972 : x
  2. Step 2: Convert to fraction form
    570,312/882,972 = 882,972/x
  3. Step 3: Cross multiply
    570,312x = 882,972 × 882,972
  4. Step 4: Simplify right side
    570,312x = 779,639,552,784
  5. Step 5: Solve for x
    x = 779,639,552,784/570,312
  6. Step 6: Final answer
    x = 1,367,040.41

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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.