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Finding the Third Proportional to 584,264.63 and 874,061.25

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Solution

The third proportional to 584,264.63 and 874,061.25 is: 1,307,597.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,264.63 : 874,061.25 = 874,061.25 : x
  2. Step 2: Convert to fraction form
    584,264.63/874,061.25 = 874,061.25/x
  3. Step 3: Cross multiply
    584,264.63x = 874,061.25 × 874,061.25
  4. Step 4: Simplify right side
    584,264.63x = 763,983,068,751.56
  5. Step 5: Solve for x
    x = 763,983,068,751.56/584,264.63
  6. Step 6: Final answer
    x = 1,307,597.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.