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Finding the Third Proportional to 285,277.50 and 602,389

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Solution

The third proportional to 285,277.50 and 602,389 is: 1,271,998.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,277.50 : 602,389 = 602,389 : x
  2. Step 2: Convert to fraction form
    285,277.50/602,389 = 602,389/x
  3. Step 3: Cross multiply
    285,277.50x = 602,389 × 602,389
  4. Step 4: Simplify right side
    285,277.50x = 362,872,507,321
  5. Step 5: Solve for x
    x = 362,872,507,321/285,277.50
  6. Step 6: Final answer
    x = 1,271,998.34

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.