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Finding the Third Proportional to 529,564 and 1,152,312

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Solution

The third proportional to 529,564 and 1,152,312 is: 2,507,388.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    529,564 : 1,152,312 = 1,152,312 : x
  2. Step 2: Convert to fraction form
    529,564/1,152,312 = 1,152,312/x
  3. Step 3: Cross multiply
    529,564x = 1,152,312 × 1,152,312
  4. Step 4: Simplify right side
    529,564x = 1,327,822,945,344
  5. Step 5: Solve for x
    x = 1,327,822,945,344/529,564
  6. Step 6: Final answer
    x = 2,507,388.99

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.