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Finding the Third Proportional to 542,894 and 845,362

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Solution

The third proportional to 542,894 and 845,362 is: 1,316,347.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,894 : 845,362 = 845,362 : x
  2. Step 2: Convert to fraction form
    542,894/845,362 = 845,362/x
  3. Step 3: Cross multiply
    542,894x = 845,362 × 845,362
  4. Step 4: Simplify right side
    542,894x = 714,636,911,044
  5. Step 5: Solve for x
    x = 714,636,911,044/542,894
  6. Step 6: Final answer
    x = 1,316,347.04

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.