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Finding the Third Proportional to 262,385,316.75 and 607,438,101.75

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Solution

The third proportional to 262,385,316.75 and 607,438,101.75 is: 1,406,256,462.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,385,316.75 : 607,438,101.75 = 607,438,101.75 : x
  2. Step 2: Convert to fraction form
    262,385,316.75/607,438,101.75 = 607,438,101.75/x
  3. Step 3: Cross multiply
    262,385,316.75x = 607,438,101.75 × 607,438,101.75
  4. Step 4: Simplify right side
    262,385,316.75x = 368,981,047,457,643,328
  5. Step 5: Solve for x
    x = 368,981,047,457,643,328/262,385,316.75
  6. Step 6: Final answer
    x = 1,406,256,462.93

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These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.