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Finding the Third Proportional to 602,094 and 932,783

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Solution

The third proportional to 602,094 and 932,783 is: 1,445,096.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,094 : 932,783 = 932,783 : x
  2. Step 2: Convert to fraction form
    602,094/932,783 = 932,783/x
  3. Step 3: Cross multiply
    602,094x = 932,783 × 932,783
  4. Step 4: Simplify right side
    602,094x = 870,084,125,089
  5. Step 5: Solve for x
    x = 870,084,125,089/602,094
  6. Step 6: Final answer
    x = 1,445,096.82

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.