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Finding the Third Proportional to 249,648.75 and 405,594

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Solution

The third proportional to 249,648.75 and 405,594 is: 658,951.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,648.75 : 405,594 = 405,594 : x
  2. Step 2: Convert to fraction form
    249,648.75/405,594 = 405,594/x
  3. Step 3: Cross multiply
    249,648.75x = 405,594 × 405,594
  4. Step 4: Simplify right side
    249,648.75x = 164,506,492,836
  5. Step 5: Solve for x
    x = 164,506,492,836/249,648.75
  6. Step 6: Final answer
    x = 658,951.80

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These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.