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Finding the Third Proportional to 594,023.63 and 851,239.13

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Solution

The third proportional to 594,023.63 and 851,239.13 is: 1,219,830.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    594,023.63 : 851,239.13 = 851,239.13 : x
  2. Step 2: Convert to fraction form
    594,023.63/851,239.13 = 851,239.13/x
  3. Step 3: Cross multiply
    594,023.63x = 851,239.13 × 851,239.13
  4. Step 4: Simplify right side
    594,023.63x = 724,608,047,930.77
  5. Step 5: Solve for x
    x = 724,608,047,930.77/594,023.63
  6. Step 6: Final answer
    x = 1,219,830.35

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.