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Finding the Third Proportional to 570,281.63 and 882,721.13

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Solution

The third proportional to 570,281.63 and 882,721.13 is: 1,366,336.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    570,281.63 : 882,721.13 = 882,721.13 : x
  2. Step 2: Convert to fraction form
    570,281.63/882,721.13 = 882,721.13/x
  3. Step 3: Cross multiply
    570,281.63x = 882,721.13 × 882,721.13
  4. Step 4: Simplify right side
    570,281.63x = 779,196,584,521.27
  5. Step 5: Solve for x
    x = 779,196,584,521.27/570,281.63
  6. Step 6: Final answer
    x = 1,366,336.47

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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.