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Finding the Third Proportional to 297,402 and 609,300

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Solution

The third proportional to 297,402 and 609,300 is: 1,248,298.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,402 : 609,300 = 609,300 : x
  2. Step 2: Convert to fraction form
    297,402/609,300 = 609,300/x
  3. Step 3: Cross multiply
    297,402x = 609,300 × 609,300
  4. Step 4: Simplify right side
    297,402x = 371,246,490,000
  5. Step 5: Solve for x
    x = 371,246,490,000/297,402
  6. Step 6: Final answer
    x = 1,248,298.57

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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.