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Finding the Third Proportional to 338,303,043 and 538,310,943

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Solution

The third proportional to 338,303,043 and 538,310,943 is: 856,565,370.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,303,043 : 538,310,943 = 538,310,943 : x
  2. Step 2: Convert to fraction form
    338,303,043/538,310,943 = 538,310,943/x
  3. Step 3: Cross multiply
    338,303,043x = 538,310,943 × 538,310,943
  4. Step 4: Simplify right side
    338,303,043x = 289,778,671,353,549,248
  5. Step 5: Solve for x
    x = 289,778,671,353,549,248/338,303,043
  6. Step 6: Final answer
    x = 856,565,370.46

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.