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Finding the Third Proportional to 652,974 and 924,273

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Solution

The third proportional to 652,974 and 924,273 is: 1,308,291.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,974 : 924,273 = 924,273 : x
  2. Step 2: Convert to fraction form
    652,974/924,273 = 924,273/x
  3. Step 3: Cross multiply
    652,974x = 924,273 × 924,273
  4. Step 4: Simplify right side
    652,974x = 854,280,578,529
  5. Step 5: Solve for x
    x = 854,280,578,529/652,974
  6. Step 6: Final answer
    x = 1,308,291.87

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.