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Finding the Third Proportional to 292,254 and 607,468.50

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Solution

The third proportional to 292,254 and 607,468.50 is: 1,262,661.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,254 : 607,468.50 = 607,468.50 : x
  2. Step 2: Convert to fraction form
    292,254/607,468.50 = 607,468.50/x
  3. Step 3: Cross multiply
    292,254x = 607,468.50 × 607,468.50
  4. Step 4: Simplify right side
    292,254x = 369,017,978,492.25
  5. Step 5: Solve for x
    x = 369,017,978,492.25/292,254
  6. Step 6: Final answer
    x = 1,262,661.86

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.