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Finding the Third Proportional to 458,641.50 and 972,787

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Solution

The third proportional to 458,641.50 and 972,787 is: 2,063,299.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,641.50 : 972,787 = 972,787 : x
  2. Step 2: Convert to fraction form
    458,641.50/972,787 = 972,787/x
  3. Step 3: Cross multiply
    458,641.50x = 972,787 × 972,787
  4. Step 4: Simplify right side
    458,641.50x = 946,314,547,369
  5. Step 5: Solve for x
    x = 946,314,547,369/458,641.50
  6. Step 6: Final answer
    x = 2,063,299.00

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.