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Finding the Third Proportional to 389,725 and 584,641.50

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Solution

The third proportional to 389,725 and 584,641.50 is: 877,043.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,725 : 584,641.50 = 584,641.50 : x
  2. Step 2: Convert to fraction form
    389,725/584,641.50 = 584,641.50/x
  3. Step 3: Cross multiply
    389,725x = 584,641.50 × 584,641.50
  4. Step 4: Simplify right side
    389,725x = 341,805,683,522.25
  5. Step 5: Solve for x
    x = 341,805,683,522.25/389,725
  6. Step 6: Final answer
    x = 877,043.26

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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.