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Finding the Third Proportional to 245,569.50 and 537,984

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Solution

The third proportional to 245,569.50 and 537,984 is: 1,178,594.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,569.50 : 537,984 = 537,984 : x
  2. Step 2: Convert to fraction form
    245,569.50/537,984 = 537,984/x
  3. Step 3: Cross multiply
    245,569.50x = 537,984 × 537,984
  4. Step 4: Simplify right side
    245,569.50x = 289,426,784,256
  5. Step 5: Solve for x
    x = 289,426,784,256/245,569.50
  6. Step 6: Final answer
    x = 1,178,594.18

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.