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Finding the Third Proportional to 455,748 and 732,222

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Solution

The third proportional to 455,748 and 732,222 is: 1,176,415.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,748 : 732,222 = 732,222 : x
  2. Step 2: Convert to fraction form
    455,748/732,222 = 732,222/x
  3. Step 3: Cross multiply
    455,748x = 732,222 × 732,222
  4. Step 4: Simplify right side
    455,748x = 536,149,057,284
  5. Step 5: Solve for x
    x = 536,149,057,284/455,748
  6. Step 6: Final answer
    x = 1,176,415.60

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.