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Finding the Third Proportional to 248,746.50 and 584,688

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Solution

The third proportional to 248,746.50 and 584,688 is: 1,374,331.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,746.50 : 584,688 = 584,688 : x
  2. Step 2: Convert to fraction form
    248,746.50/584,688 = 584,688/x
  3. Step 3: Cross multiply
    248,746.50x = 584,688 × 584,688
  4. Step 4: Simplify right side
    248,746.50x = 341,860,057,344
  5. Step 5: Solve for x
    x = 341,860,057,344/248,746.50
  6. Step 6: Final answer
    x = 1,374,331.13

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These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.