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Finding the Third Proportional to 292,396 and 607,776

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Solution

The third proportional to 292,396 and 607,776 is: 1,263,326.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,396 : 607,776 = 607,776 : x
  2. Step 2: Convert to fraction form
    292,396/607,776 = 607,776/x
  3. Step 3: Cross multiply
    292,396x = 607,776 × 607,776
  4. Step 4: Simplify right side
    292,396x = 369,391,666,176
  5. Step 5: Solve for x
    x = 369,391,666,176/292,396
  6. Step 6: Final answer
    x = 1,263,326.67

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.