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Finding the Third Proportional to 584,502 and 901,375.50

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Solution

The third proportional to 584,502 and 901,375.50 is: 1,390,034.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,502 : 901,375.50 = 901,375.50 : x
  2. Step 2: Convert to fraction form
    584,502/901,375.50 = 901,375.50/x
  3. Step 3: Cross multiply
    584,502x = 901,375.50 × 901,375.50
  4. Step 4: Simplify right side
    584,502x = 812,477,792,000.25
  5. Step 5: Solve for x
    x = 812,477,792,000.25/584,502
  6. Step 6: Final answer
    x = 1,390,034.24

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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.