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Finding the Third Proportional to 455,770 and 707,547

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Solution

The third proportional to 455,770 and 707,547 is: 1,098,410.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,770 : 707,547 = 707,547 : x
  2. Step 2: Convert to fraction form
    455,770/707,547 = 707,547/x
  3. Step 3: Cross multiply
    455,770x = 707,547 × 707,547
  4. Step 4: Simplify right side
    455,770x = 500,622,757,209
  5. Step 5: Solve for x
    x = 500,622,757,209/455,770
  6. Step 6: Final answer
    x = 1,098,410.95

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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.