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Finding the Third Proportional to 264,588 and 377,202

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Solution

The third proportional to 264,588 and 377,202 is: 537,746.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,588 : 377,202 = 377,202 : x
  2. Step 2: Convert to fraction form
    264,588/377,202 = 377,202/x
  3. Step 3: Cross multiply
    264,588x = 377,202 × 377,202
  4. Step 4: Simplify right side
    264,588x = 142,281,348,804
  5. Step 5: Solve for x
    x = 142,281,348,804/264,588
  6. Step 6: Final answer
    x = 537,746.79

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.