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Finding the Third Proportional to 296,484 and 652,009.50

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Solution

The third proportional to 296,484 and 652,009.50 is: 1,433,859.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,484 : 652,009.50 = 652,009.50 : x
  2. Step 2: Convert to fraction form
    296,484/652,009.50 = 652,009.50/x
  3. Step 3: Cross multiply
    296,484x = 652,009.50 × 652,009.50
  4. Step 4: Simplify right side
    296,484x = 425,116,388,090.25
  5. Step 5: Solve for x
    x = 425,116,388,090.25/296,484
  6. Step 6: Final answer
    x = 1,433,859.46

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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.