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Finding the Third Proportional to 334,345.22 and 651,946.22

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Solution

The third proportional to 334,345.22 and 651,946.22 is: 1,271,242.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,345.22 : 651,946.22 = 651,946.22 : x
  2. Step 2: Convert to fraction form
    334,345.22/651,946.22 = 651,946.22/x
  3. Step 3: Cross multiply
    334,345.22x = 651,946.22 × 651,946.22
  4. Step 4: Simplify right side
    334,345.22x = 425,033,872,142.42
  5. Step 5: Solve for x
    x = 425,033,872,142.42/334,345.22
  6. Step 6: Final answer
    x = 1,271,242.56

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.