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Finding the Third Proportional to 296,490 and 652,021.50

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Solution

The third proportional to 296,490 and 652,021.50 is: 1,433,883.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,490 : 652,021.50 = 652,021.50 : x
  2. Step 2: Convert to fraction form
    296,490/652,021.50 = 652,021.50/x
  3. Step 3: Cross multiply
    296,490x = 652,021.50 × 652,021.50
  4. Step 4: Simplify right side
    296,490x = 425,132,036,462.25
  5. Step 5: Solve for x
    x = 425,132,036,462.25/296,490
  6. Step 6: Final answer
    x = 1,433,883.22

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.