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Finding the Third Proportional to 384,020 and 592,072

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Solution

The third proportional to 384,020 and 592,072 is: 912,841.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,020 : 592,072 = 592,072 : x
  2. Step 2: Convert to fraction form
    384,020/592,072 = 592,072/x
  3. Step 3: Cross multiply
    384,020x = 592,072 × 592,072
  4. Step 4: Simplify right side
    384,020x = 350,549,253,184
  5. Step 5: Solve for x
    x = 350,549,253,184/384,020
  6. Step 6: Final answer
    x = 912,841.14

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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.