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Finding the Third Proportional to 343,392.75 and 525,298.50

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Solution

The third proportional to 343,392.75 and 525,298.50 is: 803,565.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,392.75 : 525,298.50 = 525,298.50 : x
  2. Step 2: Convert to fraction form
    343,392.75/525,298.50 = 525,298.50/x
  3. Step 3: Cross multiply
    343,392.75x = 525,298.50 × 525,298.50
  4. Step 4: Simplify right side
    343,392.75x = 275,938,514,102.25
  5. Step 5: Solve for x
    x = 275,938,514,102.25/343,392.75
  6. Step 6: Final answer
    x = 803,565.35

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.