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Finding the Third Proportional to 292,260 and 456,844.50

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Solution

The third proportional to 292,260 and 456,844.50 is: 714,113.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,260 : 456,844.50 = 456,844.50 : x
  2. Step 2: Convert to fraction form
    292,260/456,844.50 = 456,844.50/x
  3. Step 3: Cross multiply
    292,260x = 456,844.50 × 456,844.50
  4. Step 4: Simplify right side
    292,260x = 208,706,897,180.25
  5. Step 5: Solve for x
    x = 208,706,897,180.25/292,260
  6. Step 6: Final answer
    x = 714,113.79

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.