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Finding the Third Proportional to 592,583.19 and 1,300,509.98

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Solution

The third proportional to 592,583.19 and 1,300,509.98 is: 2,854,158.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    592,583.19 : 1,300,509.98 = 1,300,509.98 : x
  2. Step 2: Convert to fraction form
    592,583.19/1,300,509.98 = 1,300,509.98/x
  3. Step 3: Cross multiply
    592,583.19x = 1,300,509.98 × 1,300,509.98
  4. Step 4: Simplify right side
    592,583.19x = 1,691,326,196,598.44
  5. Step 5: Solve for x
    x = 1,691,326,196,598.44/592,583.19
  6. Step 6: Final answer
    x = 2,854,158.26

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.