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Finding the Third Proportional to 242,506 and 529,064

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Solution

The third proportional to 242,506 and 529,064 is: 1,154,234.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,506 : 529,064 = 529,064 : x
  2. Step 2: Convert to fraction form
    242,506/529,064 = 529,064/x
  3. Step 3: Cross multiply
    242,506x = 529,064 × 529,064
  4. Step 4: Simplify right side
    242,506x = 279,908,716,096
  5. Step 5: Solve for x
    x = 279,908,716,096/242,506
  6. Step 6: Final answer
    x = 1,154,234.19

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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.