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Finding the Third Proportional to 255,515 and 537,514

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Solution

The third proportional to 255,515 and 537,514 is: 1,130,741.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,515 : 537,514 = 537,514 : x
  2. Step 2: Convert to fraction form
    255,515/537,514 = 537,514/x
  3. Step 3: Cross multiply
    255,515x = 537,514 × 537,514
  4. Step 4: Simplify right side
    255,515x = 288,921,300,196
  5. Step 5: Solve for x
    x = 288,921,300,196/255,515
  6. Step 6: Final answer
    x = 1,130,741.05

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