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Finding the Third Proportional to 277,598.25 and 602,762.63

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Solution

The third proportional to 277,598.25 and 602,762.63 is: 1,308,807.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,598.25 : 602,762.63 = 602,762.63 : x
  2. Step 2: Convert to fraction form
    277,598.25/602,762.63 = 602,762.63/x
  3. Step 3: Cross multiply
    277,598.25x = 602,762.63 × 602,762.63
  4. Step 4: Simplify right side
    277,598.25x = 363,322,782,096.89
  5. Step 5: Solve for x
    x = 363,322,782,096.89/277,598.25
  6. Step 6: Final answer
    x = 1,308,807.90

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.