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Finding the Third Proportional to 592,430 and 917,590

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Solution

The third proportional to 592,430 and 917,590 is: 1,421,216.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    592,430 : 917,590 = 917,590 : x
  2. Step 2: Convert to fraction form
    592,430/917,590 = 917,590/x
  3. Step 3: Cross multiply
    592,430x = 917,590 × 917,590
  4. Step 4: Simplify right side
    592,430x = 841,971,408,100
  5. Step 5: Solve for x
    x = 841,971,408,100/592,430
  6. Step 6: Final answer
    x = 1,421,216.70

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.