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Finding the Third Proportional to 245,594 and 528,772

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Solution

The third proportional to 245,594 and 528,772 is: 1,138,463.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,594 : 528,772 = 528,772 : x
  2. Step 2: Convert to fraction form
    245,594/528,772 = 528,772/x
  3. Step 3: Cross multiply
    245,594x = 528,772 × 528,772
  4. Step 4: Simplify right side
    245,594x = 279,599,827,984
  5. Step 5: Solve for x
    x = 279,599,827,984/245,594
  6. Step 6: Final answer
    x = 1,138,463.59

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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.