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Finding the Third Proportional to 482,748 and 745,440

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Solution

The third proportional to 482,748 and 745,440 is: 1,151,078.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,748 : 745,440 = 745,440 : x
  2. Step 2: Convert to fraction form
    482,748/745,440 = 745,440/x
  3. Step 3: Cross multiply
    482,748x = 745,440 × 745,440
  4. Step 4: Simplify right side
    482,748x = 555,680,793,600
  5. Step 5: Solve for x
    x = 555,680,793,600/482,748
  6. Step 6: Final answer
    x = 1,151,078.40

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.