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Finding the Third Proportional to 579,697 and 919,927.50

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Solution

The third proportional to 579,697 and 919,927.50 is: 1,459,843.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    579,697 : 919,927.50 = 919,927.50 : x
  2. Step 2: Convert to fraction form
    579,697/919,927.50 = 919,927.50/x
  3. Step 3: Cross multiply
    579,697x = 919,927.50 × 919,927.50
  4. Step 4: Simplify right side
    579,697x = 846,266,605,256.25
  5. Step 5: Solve for x
    x = 846,266,605,256.25/579,697
  6. Step 6: Final answer
    x = 1,459,843.00

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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.