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Finding the Third Proportional to 510,315.75 and 750,710.25

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Solution

The third proportional to 510,315.75 and 750,710.25 is: 1,104,347.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,315.75 : 750,710.25 = 750,710.25 : x
  2. Step 2: Convert to fraction form
    510,315.75/750,710.25 = 750,710.25/x
  3. Step 3: Cross multiply
    510,315.75x = 750,710.25 × 750,710.25
  4. Step 4: Simplify right side
    510,315.75x = 563,565,879,455.06
  5. Step 5: Solve for x
    x = 563,565,879,455.06/510,315.75
  6. Step 6: Final answer
    x = 1,104,347.42

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.