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Finding the Third Proportional to 497,907 and 791,653.50

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Solution

The third proportional to 497,907 and 791,653.50 is: 1,258,699.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,907 : 791,653.50 = 791,653.50 : x
  2. Step 2: Convert to fraction form
    497,907/791,653.50 = 791,653.50/x
  3. Step 3: Cross multiply
    497,907x = 791,653.50 × 791,653.50
  4. Step 4: Simplify right side
    497,907x = 626,715,264,062.25
  5. Step 5: Solve for x
    x = 626,715,264,062.25/497,907
  6. Step 6: Final answer
    x = 1,258,699.44

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.