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Finding the Third Proportional to 451,547 and 619,196

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Solution

The third proportional to 451,547 and 619,196 is: 849,089.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,547 : 619,196 = 619,196 : x
  2. Step 2: Convert to fraction form
    451,547/619,196 = 619,196/x
  3. Step 3: Cross multiply
    451,547x = 619,196 × 619,196
  4. Step 4: Simplify right side
    451,547x = 383,403,686,416
  5. Step 5: Solve for x
    x = 383,403,686,416/451,547
  6. Step 6: Final answer
    x = 849,089.21

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.