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Finding the Third Proportional to 243,130.50 and 523,714.50

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Solution

The third proportional to 243,130.50 and 523,714.50 is: 1,128,105.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,130.50 : 523,714.50 = 523,714.50 : x
  2. Step 2: Convert to fraction form
    243,130.50/523,714.50 = 523,714.50/x
  3. Step 3: Cross multiply
    243,130.50x = 523,714.50 × 523,714.50
  4. Step 4: Simplify right side
    243,130.50x = 274,276,877,510.25
  5. Step 5: Solve for x
    x = 274,276,877,510.25/243,130.50
  6. Step 6: Final answer
    x = 1,128,105.60

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.