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Finding the Third Proportional to 240,466.22 and 514,530.98

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Solution

The third proportional to 240,466.22 and 514,530.98 is: 1,100,953.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,466.22 : 514,530.98 = 514,530.98 : x
  2. Step 2: Convert to fraction form
    240,466.22/514,530.98 = 514,530.98/x
  3. Step 3: Cross multiply
    240,466.22x = 514,530.98 × 514,530.98
  4. Step 4: Simplify right side
    240,466.22x = 264,742,133,881.91
  5. Step 5: Solve for x
    x = 264,742,133,881.91/240,466.22
  6. Step 6: Final answer
    x = 1,100,953.54

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.