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Finding the Third Proportional to 434,939.63 and 657,193.50

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Solution

The third proportional to 434,939.63 and 657,193.50 is: 993,018.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,939.63 : 657,193.50 = 657,193.50 : x
  2. Step 2: Convert to fraction form
    434,939.63/657,193.50 = 657,193.50/x
  3. Step 3: Cross multiply
    434,939.63x = 657,193.50 × 657,193.50
  4. Step 4: Simplify right side
    434,939.63x = 431,903,296,442.25
  5. Step 5: Solve for x
    x = 431,903,296,442.25/434,939.63
  6. Step 6: Final answer
    x = 993,018.97

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.