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Finding the Third Proportional to 242,528 and 523,680

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Solution

The third proportional to 242,528 and 523,680 is: 1,130,759.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,528 : 523,680 = 523,680 : x
  2. Step 2: Convert to fraction form
    242,528/523,680 = 523,680/x
  3. Step 3: Cross multiply
    242,528x = 523,680 × 523,680
  4. Step 4: Simplify right side
    242,528x = 274,240,742,400
  5. Step 5: Solve for x
    x = 274,240,742,400/242,528
  6. Step 6: Final answer
    x = 1,130,759.10

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.