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Finding the Third Proportional to 255,477.48 and 537,412.54

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Solution

The third proportional to 255,477.48 and 537,412.54 is: 1,130,480.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,477.48 : 537,412.54 = 537,412.54 : x
  2. Step 2: Convert to fraction form
    255,477.48/537,412.54 = 537,412.54/x
  3. Step 3: Cross multiply
    255,477.48x = 537,412.54 × 537,412.54
  4. Step 4: Simplify right side
    255,477.48x = 288,812,232,943.07
  5. Step 5: Solve for x
    x = 288,812,232,943.07/255,477.48
  6. Step 6: Final answer
    x = 1,130,480.20

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.