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Finding the Third Proportional to 387,032.34 and 597,805.31

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Solution

The third proportional to 387,032.34 and 597,805.31 is: 923,362.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,032.34 : 597,805.31 = 597,805.31 : x
  2. Step 2: Convert to fraction form
    387,032.34/597,805.31 = 597,805.31/x
  3. Step 3: Cross multiply
    387,032.34x = 597,805.31 × 597,805.31
  4. Step 4: Simplify right side
    387,032.34x = 357,371,191,653.22
  5. Step 5: Solve for x
    x = 357,371,191,653.22/387,032.34
  6. Step 6: Final answer
    x = 923,362.60

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.