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Finding the Third Proportional to 298,730 and 473,253

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Solution

The third proportional to 298,730 and 473,253 is: 749,735.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,730 : 473,253 = 473,253 : x
  2. Step 2: Convert to fraction form
    298,730/473,253 = 473,253/x
  3. Step 3: Cross multiply
    298,730x = 473,253 × 473,253
  4. Step 4: Simplify right side
    298,730x = 223,968,402,009
  5. Step 5: Solve for x
    x = 223,968,402,009/298,730
  6. Step 6: Final answer
    x = 749,735.22

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.