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Finding the Third Proportional to 578,683.50 and 884,702.25

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Solution

The third proportional to 578,683.50 and 884,702.25 is: 1,352,549.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    578,683.50 : 884,702.25 = 884,702.25 : x
  2. Step 2: Convert to fraction form
    578,683.50/884,702.25 = 884,702.25/x
  3. Step 3: Cross multiply
    578,683.50x = 884,702.25 × 884,702.25
  4. Step 4: Simplify right side
    578,683.50x = 782,698,071,155.06
  5. Step 5: Solve for x
    x = 782,698,071,155.06/578,683.50
  6. Step 6: Final answer
    x = 1,352,549.49

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.