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Finding the Third Proportional to 446,293.50 and 679,897.50

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Solution

The third proportional to 446,293.50 and 679,897.50 is: 1,035,777.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,293.50 : 679,897.50 = 679,897.50 : x
  2. Step 2: Convert to fraction form
    446,293.50/679,897.50 = 679,897.50/x
  3. Step 3: Cross multiply
    446,293.50x = 679,897.50 × 679,897.50
  4. Step 4: Simplify right side
    446,293.50x = 462,260,610,506.25
  5. Step 5: Solve for x
    x = 462,260,610,506.25/446,293.50
  6. Step 6: Final answer
    x = 1,035,777.15

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.