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Finding the Third Proportional to 346,368 and 745,344

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Solution

The third proportional to 346,368 and 745,344 is: 1,603,894.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,368 : 745,344 = 745,344 : x
  2. Step 2: Convert to fraction form
    346,368/745,344 = 745,344/x
  3. Step 3: Cross multiply
    346,368x = 745,344 × 745,344
  4. Step 4: Simplify right side
    346,368x = 555,537,678,336
  5. Step 5: Solve for x
    x = 555,537,678,336/346,368
  6. Step 6: Final answer
    x = 1,603,894.35

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.