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Finding the Third Proportional to 245,548 and 525,944

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Solution

The third proportional to 245,548 and 525,944 is: 1,126,529.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,548 : 525,944 = 525,944 : x
  2. Step 2: Convert to fraction form
    245,548/525,944 = 525,944/x
  3. Step 3: Cross multiply
    245,548x = 525,944 × 525,944
  4. Step 4: Simplify right side
    245,548x = 276,617,091,136
  5. Step 5: Solve for x
    x = 276,617,091,136/245,548
  6. Step 6: Final answer
    x = 1,126,529.60

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.