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Finding the Third Proportional to 759,582.75 and 1,175,767.50

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Solution

The third proportional to 759,582.75 and 1,175,767.50 is: 1,819,985.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    759,582.75 : 1,175,767.50 = 1,175,767.50 : x
  2. Step 2: Convert to fraction form
    759,582.75/1,175,767.50 = 1,175,767.50/x
  3. Step 3: Cross multiply
    759,582.75x = 1,175,767.50 × 1,175,767.50
  4. Step 4: Simplify right side
    759,582.75x = 1,382,429,214,056.25
  5. Step 5: Solve for x
    x = 1,382,429,214,056.25/759,582.75
  6. Step 6: Final answer
    x = 1,819,985.00

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.