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Finding the Third Proportional to 602,346 and 803,020

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Solution

The third proportional to 602,346 and 803,020 is: 1,070,549.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,346 : 803,020 = 803,020 : x
  2. Step 2: Convert to fraction form
    602,346/803,020 = 803,020/x
  3. Step 3: Cross multiply
    602,346x = 803,020 × 803,020
  4. Step 4: Simplify right side
    602,346x = 644,841,120,400
  5. Step 5: Solve for x
    x = 644,841,120,400/602,346
  6. Step 6: Final answer
    x = 1,070,549.35

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.