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Finding the Third Proportional to 298,402 and 610,590

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Solution

The third proportional to 298,402 and 610,590 is: 1,249,388.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,402 : 610,590 = 610,590 : x
  2. Step 2: Convert to fraction form
    298,402/610,590 = 610,590/x
  3. Step 3: Cross multiply
    298,402x = 610,590 × 610,590
  4. Step 4: Simplify right side
    298,402x = 372,820,148,100
  5. Step 5: Solve for x
    x = 372,820,148,100/298,402
  6. Step 6: Final answer
    x = 1,249,388.91

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.