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Finding the Third Proportional to 487,293.75 and 749,970

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Solution

The third proportional to 487,293.75 and 749,970 is: 1,154,242.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    487,293.75 : 749,970 = 749,970 : x
  2. Step 2: Convert to fraction form
    487,293.75/749,970 = 749,970/x
  3. Step 3: Cross multiply
    487,293.75x = 749,970 × 749,970
  4. Step 4: Simplify right side
    487,293.75x = 562,455,000,900
  5. Step 5: Solve for x
    x = 562,455,000,900/487,293.75
  6. Step 6: Final answer
    x = 1,154,242.18

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.