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Finding the Third Proportional to 243,130 and 530,522

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Solution

The third proportional to 243,130 and 530,522 is: 1,157,625.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,130 : 530,522 = 530,522 : x
  2. Step 2: Convert to fraction form
    243,130/530,522 = 530,522/x
  3. Step 3: Cross multiply
    243,130x = 530,522 × 530,522
  4. Step 4: Simplify right side
    243,130x = 281,453,592,484
  5. Step 5: Solve for x
    x = 281,453,592,484/243,130
  6. Step 6: Final answer
    x = 1,157,625.93

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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.